Josiah owns a trucking company. For every truck that goes out, Josiah must pay the

driver $24 per hour of driving and also has an expense of $2.75 per mile driven for

gas and maintenance. On one particular day, the driver drove an average of 30 miles

per hour and Josiah's total expenses for the driver, gas and truck maintenance were

$1171.50. 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.

Question

Mathematics

Kaia Pearson

31 March, 18:34

Josiah owns a trucking company. For every truck that goes out, Josiah must pay the

driver $24 per hour of driving and also has an expense of $2.75 per mile driven for

gas and maintenance. On one particular day, the driver drove an average of 30 miles

per hour and Josiah's total expenses for the driver, gas and truck maintenance were

$1171.50. 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.

+4

Answers (2)

Know the Answer?

Abel Mcgrath · Answer 1

The system of equation would be 30*2.75 + (1171.50:24)

Samantha Wiley · Answer 2

24*x + 2.75*y = 1171.5 (eq. 1)

y/x = 30 (eq. 2)

Solution: x = 11; y = 330

Step-by-step explanation:

Let's define:

x: hours driven

y: miles driven

The mathematical expression of the Josiah's total expenses for the driver is:

Expenses = 24*x + 2.75*y

On the particular day cited, the following 2 equations must be satisfied:

24*x + 2.75*y = 1171.5 (eq. 1)

y/x = 30 (eq. 2)

Dividing equation 1 by x and replacing with equation 2, we get:

24 + 2.75 * y/x = 1171.5/x

24 + 2.75*30 = 1171.5/x

x = 1171.5/106.5 = 11

Then:

y = 30*11 = 330