A textbook company will ship a box of textbooks to college students. The weight of

the box in pounds can be determined by the function w(x) = 7.5x + 2, where x is the
number of textbooks in the box. The company requires a student to order at least 2
books but not more than 6 books. What is the range of the function for this situation?

1 answer

To find the range of the function w(x) = 7.5x + 2 for the given situation where x is the number of textbooks in the box, we need to plug in the possible values of x (number of textbooks) within the given range.

When x = 2:
w(2) = 7.5(2) + 2
w(2) = 15 + 2
w(2) = 17

When x = 6:
w(6) = 7.5(6) + 2
w(6) = 45 + 2
w(6) = 47

Therefore, the range of the function for this situation is from 17 to 47 pounds, inclusive.