Question

The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x and g(x) = 1004 + 51x. Which of the following is true?

a) After one year, the cost of the refrigerator modeled by f(x) is cheaper.
b) After one year, the cost of the refrigerator modeled by g(x) is cheaper.
c) After one year, the costs are the same.

Answer 1

After one year, the cost of the refrigerator modeled by f(x) is cheaper option a.

Step-by-step explanation:

To determine which refrigerator is cheaper after one year, we need to compare the costs of f(x) and g(x) when x = 1.

For f(x), when x = 1, we substitute x = 1 into the function: f(1) = 850 + 62(1) = 850 + 62 = 912.

For g(x), when x = 1, we substitute x = 1 into the function: g(1) = 1004 + 51(1) = 1004 + 51 = 1055.

Therefore, the cost of the refrigerator modeled by f(x) is cheaper after one year. The correct answer is a) After one year, the cost of the refrigerator modeled by f(x) is cheaper.