Question

Wallace is a book editor. He uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. Which statement best explains what the range of Wallace’s function is? *

The range is all integers because a book must have a positive or negative, whole number of pages.


A.The range is all integers because a book must have a positive or negative, whole number of pages.

B.The range is all positive whole numbers because a book must have a positive, whole number of pages.

C.The range is all positive or negative multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.

D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.

Answer 1

D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.

Explanation:

The domain of a function c(x) is the set of all values, x for which the function f is defined, while the range of the function is the set of all values that c takes.

If the Book Editor , Wallace uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. The statement that best explains the range of his function is Option D.

This is as a result of the fact that, although the number of pages,x will be positive whole numbers, multiplying x by 3.5 makes the function c(x) a positive multiple of 3.5.

Since c(x) is in dollars, we round it up to the nearest cent (hundredths).