Question

john rented a truck for a week to move across the country to his new home. the truck rental company charged $20.75 per day and an additional $0.25 for each mile the truck was driven. the graph shows the daily charge for the rental. which is closest to the amount of money john spent on the truck rental for the week? $226.25 $382.25 $381.25 $295.25

Explanation:

Step1: Determine daily base - charge

The daily base - charge is $20.75$. For a 5 - day week (Monday - Friday shown in the graph), the total base - charge for 5 days is $20.75\times5$.
$20.75\times5 = 103.75$

Step2: Estimate daily mileage charges from the graph

Estimate the height of each bar above the $20$ mark for each day:

• Monday: Let's say the height above $20$ is about $60 - 20=40$.
• Tuesday: Let's say the height above $20$ is about $80 - 20 = 60$.
• Wednesday: Let's say the height above $20$ is about $30$.
• Thursday: Let's say the height above $20$ is about $40$.
• Friday: Let's say the height above $20$ is about $30$.

The total additional mileage - related charges for the 5 days is $(40 + 60+30 + 40+30)\times0.25$.
$(40 + 60+30 + 40+30)=200$
$200\times0.25 = 50$

Step3: Calculate total cost

The total cost is the sum of the base - charge and the mileage - related charge.
Total cost=$103.75 + 50+(20.75\times2)$ (for the two non - shown weekend days with base - charge only)
$103.75+50 + 41.5=195.25+50 = 245.25$
The closest value to $245.25$ among the options is $226.25$.

Answer:

$226.25$