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.
[tex]\text{ y = 245 + 30x}[/tex]
b.) Hank's Movers charges $65 per hour.
[tex]\text{ y = 65x}[/tex]
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
