Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
Cumulative Standards Review

Exercise 25 Page 160

The total rental cost will be the sum of two products.

Expression: 29.20d
Cost for 4 days: $116.80

Practice makes perfect

The total cost for Dale to rent the car is a sum of two prices: the daily rental fee, and the mileage-based fee. Let's start by writing an expression to describe each of these. Then, we will be able to write an expression for the total cost.

Daily Fee

The rental car company charges $25 per day just for renting the car. At a minimum, Dale will be charged $25 multiplied by the number of days d he rents the car, whether he drives anywhere or not. 25* number of days ⇒ 25d

Milage-Based Fee

The rental car company also charges $0.30 for each mile the car is driven. We are told that Dale only drives the rental car to and from work, which is 7 miles each way, 14 miles total. We can express this fee by multiplying each day's distance by the cost of each mile driven. 0.30* 14miles per day ⇒ 4.20d

Writing the Expression

The sum of these two expressions gives us another expression that represents the total cost in dollars for Dale to rent the car for d days. Expression: 25d+ 4.20d or 29.20d This means that it costs $29.20 each day for Dale to rent the car.

Cost of 4 Day Rental

We are also asked to find the value of the expression when d equals 4. Let's calculate it!
29.20d
29.20* 4
116.80
A 4 day rental will cost Dale $116.80.