Zoe is deciding between two landscaping companies for her place of business. Company A charges $35 per hour and a $300 equipment fee. Company B charges $55 per hour and a $200 equipment fee. Let
A
(
t
)
A(t) represent the amount Company A would charge for
t
t hours of landscaping, and let
B
(
t
)
B(t) represent the amount Company B would charge for
t
t hours of landscaping. Write the equation for each function and determine the number hours,
t
,
t, that would make the cost of each company the same.

Respuesta :

A(t) = 35t+300

B(t) = 55t+200

After 5 hours, the cost will be same.

Step-by-step explanation:

Given,

Per hour charges of company A = $35

Equipment fee = $300

Number of hours = t

A(t) = 35t+300

Per hour charges of company B = $55

Equipment fee = $200

B(t) = 55t+200

For the cost to be same

A(t) = B(t)

[tex]35t+300=55t+200\\300-200=55t-35t\\100=20t\\20t=100[/tex]

Dividing both sides by 20

[tex]\frac{20t}{20}=\frac{100}{20}\\t=5 \\[/tex]

After 5 hours, the cost will be same.

Keywords: function, division

Learn more about functions at:

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  • brainly.com/question/12941985

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