Question

Please help me with these two questions

Answer 1

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:

$\boxed{A. \ 1.50h+4}$

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:

$4$

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

$1.50h$

Finally, we can write total cost (C) as the sum of these two expressions:

$C=1.50h+4$

Finally, our correct option is A:

$\boxed{1.50h+4}$

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:

$C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5$

Finally, he spent 5 hours at the beach