Question

Steve works between 30 and 40 hours per week. The function f, where f(x)= 8.5x represents the amount of money Steve ears given the number of hours, x, he works. Which statement represents the range of this function for any given week?

a) IR
b) 30 ≤ x ≤ 40
c) the set of integers
d) 255 ≤ f(x) ≤ 340

Answer 1

Answer: d) 255 ≤ f(x) ≤ 340

Explanation:

The function

f(x)= 8.5x

represents the amount of money that Steve earns given the number of hours, x, he works.

The dependent variable is the total amount that he earns, f(x) while the independent variable is the number if hours, x that he works. The range is the possible values of the dependent variable that satisfies the equation.

Steve works between 30 and 40 hours per week. This means that

the lowest amount that he earns is 8.5×30 = $255

The highest amount that he earns is 8.5× 40 = 340. Therefore, the range is

255 ≤ f(x) ≤ 340