a landscaping company charges $100 plus $15 per hour Another company charges $75 plus $17 per hour. How long is a job that costs the same company dont matter?

Question

mfw you chuckle at how dumb i am at not knowing the answer

Answer 1

First step is to write equations for each company based on how each company charges.

 

 

Let x = hours

Let y = charge

 

 

1st Company

 

y = 15x + 100

 

 

2nd Company

 

y = 17x + 75

 

 

Since we want to know the hours needed for the companies to make the same charge, we set the charges equal to zero and solve for x.

 

 

15x + 100 = 17x + 75

 

 

Subtract 15x on both sides of equation.

 

100 = 2x + 75

 

 

Subtract 75 on both sides of equation.

 

25 = 2x

 

 

Divide both sides of equation by 2.

 

12.5 = x

 

 

Both companies need to work 12.50 hours to make the same charge.

Answer 2

100+15x=75+17x

100-75=17x-15x

25=2x

12.5=x

 

12.5 hrs.