Earth Science

Q: Which graph is the graph of a power function, , that has an odd p? A) A B) B C) neither D) both

Q: Find the description that best fits a power function, , where k is positive and p is odd. A) and B) and C) and D) and

Q: Find the description that best fits a power function, , where and . A) k is negative and p is even B) k is negative and p is odd C) k is positive and p is even D) k is positive and p is odd

Q: Which of the following is the graph of a power function, , where k is positive and p is odd? A) B) C) D)

Q: What description best fits the power function, , pictured? A) k is negative and p is odd B) k is positive and p is odd C) k is negative and p is even D) k is positive and p is even

Q: Which of the following is the graph of a power function? A) B) C)

Q: Evaluate the following function when x = "2.f(x)= -7x4

Q: The cost,C, of copper tubing is jointly proportional to the length, l, of the pipeand the square of the diameter, d, of the pipe. A 32-inch length of 1-inch diameter copper tubing costs $48.00. A) Find a general formula to describe the relationship, and B) use the formula to find the cost, in dollars, of a 44-inch length of 1.5-inch diameter copper pipe. Round your answer to 2 decimal places, if necessary.

Q: If w is jointly proportional to the cube of x and to the cube of y, and when and , then A) find a general formula to describe the relationship (use fractional exponents rather than radicals, if necessary) and, B) use the formula to find w when and . Round your answer to 2 decimal places, if necessary.

Q: If w is jointly proportional to the square of x and to y, and when and , then find w when and . Round your answer to 2 decimal places, if necessary.

Q: If w is jointly proportional to the square root of x and to the square of y, and w= 192 when x=27 and y=4, then find a general formula to describe the relationship. Use fractional exponents rather than radicals, if necessary.

Q: If y is directly proportional to the cube of x, by what factor does y change whenx triples?A) 21/2B) 3C) 22D) 1/3

Q: The cost, C, of a diamond is directly proportional to the square of its weight, w (in carats). If a 1-carat diamond costs 8,500 dollars, find the cost, in dollars, of a 4-carat diamond.

Q: The cost, C, of a diamond is directly proportional to the square of its weight, w (in carats).A 0.5-carat diamond costs 2,250 dollars.A) Find a general formula to describe the relationship, (Write your answer in the form C= kwp), andB) use the formula to find the cost, in dollars, of a 3.5-carat diamond.

Q: Given that y is directly proportional to the square of x, and y=10.24 when x=1.6,A) find a formula to describe the relationship (Write your answer in the form y= kxp ) and,B) use the formula to find y when x=3. Round your answer to 2 decimal places, if necessary.

Q: Given that y is directly proportional to the cube of x, and y= 9.2 when x= 97.336, find y when x= 8.Round to two decimal places, if necessary.

Q: Given that y is directly proportional to the square root of x, and y= 28 when x=16, the formula y= kxp describes this relationship.Find p and k.A) p is 19.5 and k is 15.21B) p is 5 and k is 1/2C) p is 15.21 and k is 19.5D) p is 1/2 and k is 5

Q: Given that y is directly proportional to the square of x, and y= 55.296 when x=1.7, the formula y= kxp describes this relationship.Find A) p and B) k.

Q: Given that y is directly proportional to the cube root of x, and y= 26.01 when x=1.7, find a formula to describe the relationship.Write your answer in the form y= kxp.

Q: Given that y is directly proportional to x, and y= 49 when x=5,A) find a general formula to describe the relationship, andB) use the formula to find y when x=4.

Q: Given that y is directly proportional to x, and y=3.9 when x=3, find y when x=4.

Q: Given that y is directly proportional to x and y=17.1 when x=3, find a formula to describe the relationship.

Q: For the power function below identify A) k and B) p.y=2x7

Q: Determine which one of the following functions is a power function.A) B) C) D)

Q: A sculptor has been inspired by a teacher in his youth and now wants to commemorate the teacher by creating a sculptor of her. The sculptor first makes a model that is 12 inches tall and contains 16.8 cubic inches of clay. How many cubic inches of clay will be required for the final sculpture if it is to be 60 inches tall?

Q: Assume a box has a square base, a height of x, and the side of the base is 4 times the height. Write a function for the volume of the box.

Q: Assume a box has a square base with a side of length x and the side of the base is 4 times the height. Write a function for the volume of the box.

Q: A sphere with radius 12 m and a cylinder with radius 12 m are to have the same volume. What must be the height of the cylinder?

Q: Find the surface area of a cylinder with a radius of 5 m and a height of 9 m. Round the answer to 2 decimal places.

Q: Find the volume of a cylinder with a radius of 6 ft and a height of 11 ft. Round the answer to 2 decimal places.

Q: Find the radius of a sphere with a volume of 3,053.63 meters3. Round the answer to the nearest meter.

Q: Find the radius of a sphere with a surface area of 113.10 feet2. Round the answer to the nearest foot.

Q: Find the Volume area of a sphere with a radius of 7 meters. Round the answer to 2 decimal places.

Q: Find the surface area of a sphere with a radius of 4 meters. Round the answer to 2 decimal places.

Q: Solve the formula, F = 2ma for m.

Q: In which function does the output, y, increase by a factor of 16 when the input, x, is quadrupled?A) B) C) D)

Q: In which function does the output, y, increase by a factor of 9 when the input, x, is tripled?A) B) C) D)

Q: In which function does the output, y, increase by a factor of 8 when the input, x, is doubled?A) B) C) D)

Q: The function, , gives the volume of a cube as a function of the length of a side. By what factor does the volume increase when the length of a side is quadrupled? A) 85 B) 4 C) 3 D) 64

Q: The function, , gives the area of a circle as a function of its radius. By what factor does the area increase when its radius is doubled? A) 2 B) 12 C) 4 D) 0.75

Q: The function, , gives the area of a 10-inch long rectangle as a function of its width. By what factor does the area increase when its width is quadrupled? A) 40 B) 4 C) 0.4 D) 16

Q: The function, , gives the volume of a sphere as a function of its radius. By what factor does the volume increase when its radius is quadrupled?

Q: The function, , gives the area of a circle as a function of its radius. By what factor does the area increase when its radius is quadrupled?

Q: The function, , gives the perimeter of a square as a function of the length of a side. By what factor does the perimeter increase when the length of a side is tripled?

Q: Find the equivalent exponential function from the given logarithmic form, .Write your answer in form and round values to 2 decimal places.

Q: Write the exponential function, , in an equivalent logarithmic form, .Round values to 2 decimal places, if necessary.

Q: Find the exponential function from the given equivalent logarithmic form, .Write your answer in form.

Q: Write the exponential function, , in an equivalent logarithmic form, .

Q: Find the formula for the function pictured on the semi-log plot given that the 2 points pictured are (2,2) and (8,4)Write your answer in form.

Q: Which of the following functions would not appear as a straight line on a semi-log plot?A) B) C)

Q: Identify the scale used on the vertical axis of this graph. A) Linear scale B) Logarithmic scale C) Power-of-10 scale

Q: Graph the function over the interval

Q: Which of the following is a semi-log plot of the function A) B) C) D)

Q: Which of the following functions would appear as a straight line on a semi-log plot?A)B)

Q: Examine the following graph: Select the graph that is a mirror image about the y-axis. A) B) C) D)

Q: The noise level, N, of a sound (measured in decibels,db) is defined to be where I is the intensity of the sound (measured in watts/cm2).Find the intensity (in watts/cm2) of a sound with a noise level of 30 decibels.Write your answer as a power of ten.

Q: The noise level, N, of a sound (measured in decibels,db) is defined to be where I is the intensity of the sound (measured in watts/cm2).Find the noise level (in decibels) of a sound with intensity 10-12 watts/cm2.

Q: The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H+] is the concentration of hydrogen ions (measured in moles per liter). Use the table which includes the pH of various substances to answer the question..The ion concentration of coffee is how many times more than that of soap?SubstancepHVinegar3Coffee5Chicken6Pure Water7Soap9Ammonia10Household Cleaner12A) 2B) 106C) 102D) 16

Q: The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H+] is the concentration of hydrogen ions (measured in moles per liter).Use the function to find the hydrogen ion concentration of a substance that has a pH of 12.Write your answer as a power of 10.

Q: Determine whether the following statement is true about the graph of It has a y-intercept of 1.A) TrueB) False

Q: Which one of the following is true about the graph of A) It lies to the left of the y-axis.B) It is always decreasing.C) It has a vertical asymptote at x=0.D) It is concave up.

Q: Given the graph:Which curve represents the function ?A) None of the lines represent the functionB) CC) BD) A

Q: Solve for x.

Q: Find the doubling time for the functionAssume t is measured in years.Round the answer to 2 decimal places.

Q: If an investment earns interest at a rate of 7.5% compounded continuously, what is the effective annual interest rate? Round the answer to the nearest hundredth of a percent.

Q: If it took a radioactive substance 900 years to continuously decay from 2 grams to 0.8 grams, what is the half life of the substance? Round the answer to the nearest year.

Q: The graphs of the three functions, , , and are given. Which color is the graph of ?A) GreenB) BlueC) Red

Q: The graphs of the three functions, ,, and are given. Which color is the graph of ?A) BlueB) RedC) Green

Q: A continuous growth rate of 49% of corresponds to what growth rate? Write your answer as a percent rounded to 2 decimal places.

Q: A growth rate of 14% of corresponds to what continuous growth rate? Write your answer as a percent rounded to 2 decimal places.

Q: Find A) the continuous growth factor and B) the (annual) growth factor from the function, Write your answers as percents rounded to 2 decimal places, like 23.75%.

Q: Find k by converting ato . Round your answer to 2 decimal places.

Q: The population of a town grew from 9,000 in 1996 to 13,000 in 1999. A) Find a function of the form, , for the population, P, of the town as a function of t, the number of years after 1996. Round values to 2 decimal places. B) Use this function to find the population in 2005. Round your answer to the nearest person.

Q: The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate. Write your answer as a percent rounded to 2 decimal places, like 13.45%.

Q: Which of the following is the exact solution of the equation? A) B) C) D)

Q: Solve the equation for x. Round your answer to 2 decimal places.

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