Solve the problem.The cost of owning a home includes both fixed costs and variable utility costs. Assume that it costs $2265 per month for mortgage and insurance payments and it costs an average of $3.55 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 = -3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities.
B. y = 3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities.
C. y = -3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities.
D. y = 3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities.


Answer: D

Mathematics

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