Question

Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.

give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours

my graph is the y axis is 1000 and the x axis is 20

Answer 1

Hi there!

We can begin by writing an equation for each company.

Let x = number of hours

Company A:

y = 250 + 50x (hourly rate is $50)

Company B:

y = 150 + 75x (hourly rate is $75)

We can set the two equations equal to each other to find their intersection point:

250 + 50x = 150 + 75x

Solve for x:

250 - 150 = 75x - 50x

100 = 25x

x = 4

Solve for y by plugging x into an equation:

y = 150 + 75(4) = 150 + 300 = 450

Thus, the lines intersect at (4, 450)

4 hours ⇒ $450 dollars