Solve the problem.The cost of owning a home includes both fixed costs and variable utility costs. Assume that it costs $3240 per month for mortgage and insurance payments and it costs an average of $1.17 per unit for natural gas, electricity, and water usage. (i) Determine a linear function that computes the annual cost of owning this home if x utility units are used. (ii) What does the y-intercept on the graph of the function represent?

A. y = -1.17x + 38,880; y-intercept, 38,880, represents the minimum cost of owning the home for 12 months without spending anything on utilities.
B. y = -1.17x + 3240; y-intercept, 3240, represents the minimum cost of owning the home without spending anything on utilities.
C. y = 1.17x + 3240; y-intercept, 3240, represents the minimum cost of owning the home without spending anything on utilities.
D. y = 1.17x + 38,880; y-intercept, 38,880, represents the minimum cost of owning the home for 12 months without spending anything on utilities.


Answer: D

Mathematics

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Solve the problem.A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 1 mile downstream on the opposite side costs $225 per foot across the river and $150 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the 

A. C(x) = 225 + 150(5280 - x)
B. C(x) = 225(650 - x) + 150(1 - x)
C. C(x) = 225 + 150(1 - x)
D. C(x) = 150 + 225(5280 - x)

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Provide an appropriate response.Find the average and round to the same place value as that used in the problem.   Cost of a can of cat food: 51¢, 94¢, 15¢, 73¢, 48¢, 51¢, 33¢

A. 51¢ B. 52¢ C. 53¢ D. 52.14¢

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Find the prime factorization of the number.72

A. 2 ? 2 ? 2 ? 3 ? 5 B. 2 ? 2 ? 2 ? 3 C. 2 ? 2 ? 2 ? 3 ? 3 D. 2 ? 2 ? 2 ? 2 ? 3 ? 3

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Write each fraction as an equivalent fraction with the LCD of the two fractions as the denominator. and 

A.
B.
C.
D.

Mathematics