Question

It costs less to hire Hank’s movers for times less than…hours

Answer 1

Given:

a.) Acme Movers charges $245 plus $30 per hour.

b.) Hank's Movers charges $65 per hour.

First, let's generate the equation that represents the different price offers.

Let,

x = the number of hours of service

y = total cost

a.) Acme Movers charges $245 plus $30 per hour.

`\text{ y = 245 + 30x}`

b.) Hank's Movers charges $65 per hour.

`\text{ y = 65x}`

Next, let's determine x (the number of hours) where the price of the two will be the same.

Applying the Substitution Method, substitute equation b to equation a.

y = 245 + 30x

65x = 245 + 30x

65x - 30x = 245

35x = 245

35x/35 = 245/35

x = 7

The cost of the two service providers will be the same in a 7 hours service.

Let's now determine at