Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
PART 1.
Finding the correct expression.
Correct answer:
[tex]\boxed{A. \ 1.50h+4}[/tex]
From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
[tex]4[/tex]
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
[tex]1.50h[/tex]
Finally, we can write total cost (C) as the sum of these two expressions:
[tex]C=1.50h+4[/tex]
Finally, our correct option is A:
[tex]\boxed{1.50h+4}[/tex]
PART 2.
Finding h.
Correct answer:
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
[tex]C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5[/tex]
Finally, he spent 5 hours at the beach
