Question

Allison owns a trucking company. For every truck that goes out, Allison must pay the driver $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 15 miles per hour and Allison's total expenses for the driver, gas and truck maintenance were $286. 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

Answer:

y = 15x

11x + y = 286

where

y = number of miles driven by the truck driver

x = number of hours the truck driver drives

Solving this gives, x = 11 hours and y = 165 miles.

Step-by-step explanation:

Let the number of hours the truck driver drives be x.

Let the number of miles driven by the truck driver be y.

Since the truck driver drives at 15 miles per hour, the number of miles covered by the driver y, can be given from the speed equation.

Speed = (distance/time)

15 = (y/x)

y = 15x.

And the drivers are paid $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance.

Meaning that on a day that the truck driver drives y miles for x hours, the total pay, C, is given as

C = 11x + 1y = 11x + y

So, on this fateful day, the total amount paid to a truck driver was $286

So, C = $286

11x + y = 286.

So, the two equations for the scenarios are

y = 15x

11x + y = 286

Solving this gives, x = 11 hours and y = 165 miles.

Hope this Helps!!!

Answer 2

The system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).

Given :

• Allison owns a trucking company.
• For every truck that goes out, Allison must pay the driver $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance.
• On one particular day, the driver drove an average of 15 miles per hour, and Allison's total expenses for the driver, gas, and truck maintenance were $286.

The following steps can be used in order to determine the system of linear equations:

Step 1 - Let the total number of miles be 'x' and the total number of hours be 'y'.

Step 2 - The linear equation that represents the total expenses for the driver, gas, and truck maintenance is given by:

11x + y = 286

Step 3 - The linear equation that represents the situation that the driver drove an average of 15 miles per hour is given by:

y = 15x

So, the system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).

For more information, refer to the link given below:

https://brainly.com/question/11897796