Question

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

Answer 1

The system of equation would be 30×2.75+(1171.50÷24)

Answer 2

Answer:

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