Question
Sue charges $ 15 for the first hour of babysitting and $ 10 for each additional hour, with the fraction of an hour counting as a whole hour. The rates that Vic charges for x hours of babysitting are modeled by the function shown
what is the rate of change for each function over the interval 7 ≤ x ≤ 11 ?
- Sue : 9.56 , Vic : 8
- Sue : 10 , Vic : 8.625
- Sue : 9 , Vic : 7
- Sue : 5.67 , Vic : 7.96
Hint:
We calculate the costs for both 7 and 11 hours of babysitting for Sue and Vic individually. Then, we find the rate of change for both of them.
The correct answer is: Sue : 10 , Vic : 8.625
Step 1 of 2:
Sue: f(x) = 15 + 10(x-1) = 15 + 10x – 10 = 5 + 10x
x = 7, y = 75
x = 11, y = 115
Rate of change (Sue) = = = 10
Step 2 of 2:
Vic:
x = 7, y = 10x = 70
x = 11, y = 9.5x = 104.5
Rate of change (Vic) = = = 8.625
Final Answer:
The right choice is- c. Sue : 10, Vic : 8.625
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