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Question
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), and
B) use the formula to find the cost, in dollars, of a 3.5-carat diamond.
Answer
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Related questions
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The following equation represents the best-fit regression line for median personal total income of adult males vs. years of education past eighth grade in Northern Wisconsin.
Median personal income = 5,813 + 5,567 years of education
What would be the expected annual personal income of a male who had 8 years of education past eighth grade?
Q:
The following equation represents the best-fit regression line for median personal total income of adult males vs. years of education past eighth grade in Northern Wisconsin.
Median personal income = 4,370 + 5,796 years of education
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Q:
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This table shows the final exam scores (y) compared to the hours studied (x) for 5 randomly selected students. Time spent Studying (hours)
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Use points D and E from this table to estimate the slope of the linear model for this data. Advertising Expense ($1000s)
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Q:
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Q:
The table below gives the life expectancy of a child (at birth) in the United States for selected years from 1920 to 1990.
(Source: Department of Health and Human Services) Year
1920
1930
1940
1950
1960
1970
1980
1990 Life expectancy
54.1
59.7
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Between 1930 and 1940, the life expectancy of a child increased by A)___________ years of life which is an average increase of B)___________ years of life expectancy each year.
Round answers to 2 decimal places if necessary.
Q:
The graph below shows the number of birds at a bird feeder as a function of time. What event most likely occurred during interval E?
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Over what interval(s) is the function positive?
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Q:
If Fancis pays 23% of each paycheck for payroll deductions, which function would properly describe her take-home pay, T, as a function of her gross pay, p?
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Q:
Solve the following equation for y in terms of x and then express in f(x) form.
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-8 1
-8 2
-8 3
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Q:
Find an equation that represents the relationship between x and y in this table: x
y -2
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4 0
1 1
-2 2
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Q:
A taxi company has the following fare policy: any trip of 5 miles or less costs $5.00 and the cost for each additional mile is $0.35. The company will not make a trip longer than 30 miles.
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C) ; Domain: (0,30]
D) ; Domain: [5,)
Q:
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Q:
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B) 3
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Q:
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Q:
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Q:
The bar chart below was created using the number of children of each of the last 20 U.S. Presidents. Find the relative frequency of presidents who had 3 children.