(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