Given:
The cost function C(t) = 45t + 95 where t is the number of hours purchased
To Find:
The amount of money a customer pays more for using the service for 5 hours than for 3 hours
Solution:
A customer has to pay $90 more to use the service for 5 hours than for 3 hours.
Calculation:
First, we find the cost of using the service for 3 hours, i.e., at t=3. We do this by substituting t=3 in the cost function C(t) = 45t + 95
C(t) = 45(3) + 95 = 230
Thus the cost for using the service for 3 hours is $230.
Next, we find the cost of using the service for 5 hours, i.e., at t=5. We do this by substituting t=5 in the cost function C(t) = 45t + 95
C(t) = 45(5) + 95 = 320
Thus the cost for using the service for 5 hours is $320.
The difference in the two prices is $(320-230) = $90
So, a customer has to pay $90 more to use the service for 5 hours than for 3 hours.
