Chapter 8.2, Problem 41PPS

To determine

To write: The expression and simplify.

Answer to Problem 41PPS

  $100.5-0.5h$

Explanation of Solution

Given:

Below are the charges of a parking garage

$30 per month

$1.50 per day time hour

$1 per hour during nights and weekends

Trent parks in this garage for 47 hours in January and h of those are weekend and night hours.

Calculation:

Fixed monthly charges is given by $\$30$

Trent parks h hours in night hour and weekends.

So, he parks for $\left(47-h\right)$ hours during the day time hour

Hence, charges for parking the vehicle during night hour and weekend is given by $\$1h=\$h$

And that of daytime hour is given by $\left(47-h\right)1.50$

Therefore, total charge is given by

  $\left(47-h\right)1.50+h+30$

Simplify the expression

  $70.5-1.50h+h+30$

Combine the like terms

  $100.5-0.5h$