Jevonte is deciding between two landscaping companies for his place of business. Company A charges $55 per hour and a $275 equipment fee. Company B charges $70 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t, commat, and determine which company would be cheaper if Jevonte needs 7 hours of landscaping.

Question

Answer
Attempt 1 out of 2

A, equalsA=
B, equalsB=

is $
cheaper than
for 7 hours of landscaping.

Answer 1

Let's write the equations for the total cost from each company based on the number of hours \( t \) Jevonte needs.

1. For Company A: \[ A(t) = 55t + 275 \]

2. For Company B: \[ B(t) = 70t + 200 \]

Now, we can calculate the total cost for 7 hours of landscaping for each company:

For Company A: \[ A(7) = 55(7) + 275 = 385 + 275 = 660 \]

For Company B: \[ B(7) = 70(7) + 200 = 490 + 200 = 690 \]

Now, we compare the costs:

• \( A(7) = 660 \)
• \( B(7) = 690 \)

Thus, the analysis shows that:

Company A is $30 cheaper than Company B for 7 hours of landscaping.

Final Answer:

• \( A = 55t + 275 \)
• \( B = 70t + 200 \)
• Company A is $30 cheaper than Company B for 7 hours of landscaping.