Question

Help

Xin owns a trucking company. For every truck that goes out, Xin must pay the driver $20 per hour of driving and also has an expense of $2.25 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Xin's total expenses for the driver, gas and truck maintenance were $1457.50. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answer 1

To determine the number of hours the driver worked and the number of miles the truck drove, you can set up a system of equations. The equations are: 20x + 2.25y = 1457.50 and y = 50x.

Step-by-step explanation:

To write a system of equations to determine the number of hours the driver worked and the number of miles the truck drove, we can define the following variables:

Let x represent the number of hours the driver worked.

Let y represent the number of miles the truck drove.

Based on the information provided, the expenses for the driver, gas, and truck maintenance can be calculated using the following equations:

20x - the cost for the driver's wages (as $20 per hour)

2.25y - the cost for gas and maintenance (as $2.25 per mile)

We know that the total expenses for the driver, gas, and truck maintenance were $1457.50, so we can set up the equation:

20x + 2.25y = 1457.50

Additionally, we know that the average driving speed was 50 miles per hour, so we can set up another equation:

y = 50x