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
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