Question

1. model with mathematics mr. burns takes a one - day trip and rents a car using the rates shown. the car rental cost is $68.25. write and solve an equation to find how many miles he traveled. 17. model with mathematics geoff works at a warehouse, earning $17.50 per hour plus a $200 one - time hiring bonus. in geoff’s first week, his pay including the bonus was $637.50. write and solve an equation to find how many hours geoff worked his first week. rays car rental rates all cars $35 per day plus $0.07 per mile

Explanation:

Question 16

Step1: Define variables and equation

Let \( m \) be the number of miles. The cost is daily fee plus mileage fee: \( 35 + 0.07m = 68.25 \)

Step2: Subtract 35 from both sides

\( 0.07m = 68.25 - 35 \)
\( 0.07m = 33.25 \)

Step3: Divide by 0.07

\( m = \frac{33.25}{0.07} \)
\( m = 475 \)

Step1: Define variables and equation

Let \( h \) be hours worked. Pay is hourly wage times hours plus bonus: \( 17.50h + 200 = 637.50 \)

Step2: Subtract 200 from both sides

\( 17.50h = 637.50 - 200 \)
\( 17.50h = 437.50 \)

Step3: Divide by 17.50

\( h = \frac{437.50}{17.50} \)
\( h = 25 \)

Answer:

He traveled 475 miles.

Question 17