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Question
- parking a parking garage charges $8 for the first two hours and $1.75 for each additional hour. the function for the cost of parking in the garage for 2 hours or more is f(x)=8 + 1.75(x - 2), where x is the number of total hours parked in the garage. find and interpret f(7).
Step1: Substitute x = 7 into the function
$f(7)=8 + 1.75(7 - 2)$
Step2: Calculate the value inside the parentheses
$7-2 = 5$
So, $f(7)=8+1.75\times5$
Step3: Multiply 1.75 by 5
$1.75\times5 = 8.75$
So, $f(7)=8 + 8.75$
Step4: Add the two numbers
$8+8.75=16.75$
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The value of $f(7)$ is $16.75$. It means that the cost of parking in the garage for 7 hours is $16.75$ dollars.