Select the correct answer.

If it costs Susan [tex]$25[/tex] to rent a truck for 1 hour and [tex]$100[/tex] to rent a truck for 4 hours, how much will it cost for her to rent a truck for her entire 8-hour work day?

A. [tex]$150[/tex]
B. [tex]$200[/tex]
C. [tex]$225[/tex]
D. [tex]$250[/tex]

Answer :

To figure out how much it will cost Susan to rent a truck for her entire 8-hour workday, we can break down the information and calculate step by step.

1. Identify the cost for a shorter timeframe:
We know from the problem that it costs [tex]$100 to rent a truck for 4 hours. This means that the cost to rent the truck for one hour is $[/tex]100 divided by 4 hours, which is [tex]$25 per hour.

2. Calculate the cost for an 8-hour rental:
Now that we know the hourly rate is $[/tex]25, we can calculate the cost for an 8-hour rental by multiplying the hourly rate by the number of hours Susan wants to rent the truck:
[tex]\[
\text{Cost for 8 hours} = 8 \text{ hours} \times 25 \text{ dollars/hour} = 200 \text{ dollars}
\][/tex]

So, the total cost for Susan to rent the truck for an 8-hour workday is [tex]$200.

Correct answer: B. $[/tex]200