your friend spends 6+5x minutes lifting weights and 9x+8 minutes running on a treadmill. write a polynomial that represents how much more time is spent running on the treadmill than lifting weights.

(4x + 2) more minutes is spent running on the treadmill than lifting weights

Solution:

Given that,

your friend spends 6+5x minutes lifting weights

9x+8 minutes running on a treadmill

Therefore,

Time spent on lifting weight = 6 + 5x minutes

Time spent on treadmill = 9x + 8 minutes

Write a polynomial that represents how much more time is spent running on the treadmill than lifting weights.

Thus we need to find the difference between time spent on treadmill and time spent on lifting weight

Difference = Time spent on treadmill - Time spent on lifting weight

Difference = 9x + 8 - (6 + 5x)

Difference = 9x + 8 - 6 - 5x = 4x + 2

Thus 4x + 2 more minutes is spent running on the treadmill than lifting weights