Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 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 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. 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.

For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. If on a particular day, his total expenses for the driver, gas and truck maintenance were $258, it means that

13x + y = 258

On that particular day, the driver drove an average of 30 miles per hour.

Speed = distance/time

It means that

y/x = 30

y = 30x

fichoh fichoh · Answer 2 · 2021-11-19T12:41:18+01:00

Using system of equations, the equations which represents the scenario described can be expressed thus :

y = 30x - - - - - (1)
13x + y = 258 - - - - - (2)

Using the variables :

Number of driving hours = x
Number of miles = y

Average of 30 miles per hour :

y/x = 30

Cross multiply

y = 30x - - - - - (1)

Total expenses after driving 30 miles per hour = $258:

13x + 1y = 258

13x + y = 258 - - - - - (2)

Therefore, equations (1) and (2) can be used to solve the problem described.

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