Question

The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee. The mathematical range for the function is the set of real numbers. Which statement describes have a reasonable range differs from the mathematical range A The reasonable range contains only integers. B The reasonable range contains only positive rational numbers. C The reasonable range contains only integers greater than 75. D The reasonable range contains only positive rational numbers greater than 75.

Answer 1

d

Explanation:

Answer 2

D The reasonable range contains only positive rational numbers greater than 75.

Explanation:

Given that the function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee.

The f(x) is the range of the function. If the mathematical range for the function is the set of real numbers, the reasonable range will be set of positive real numbers which will therefore greater than 75.

Option D is the correct answer which says;

D The reasonable range contains only positive rational numbers greater than 75.