adobe rent a car company charges a $50 rental free ,$20 for gas and $0.20 per mile driven for the same car vamos card charges $5 5 for rental and gas and $0.30 per mile . A find the number of miles for which the companies charge will be the same then find that charge show your work
1 answer:
Answer:
x = 150 miles
Cost = $100
Step-by-step explanation:
Company A = 50 + 20 + 0.20x
= 70 + 0.20x
Company B = 55 + 0.30x
Where,
x =number of miles
find the number of miles for which the companies charge will be the same
Equate the charges of both companies
70 + 0.20x = 55 + 0.30x
70 - 55 = 0.30x - 0.20x
15 = 0.10x
Divide both sides by 0.10
x = 15 / 0.10
= 150
x = 150 miles
The number of miles for which the companies charge will be the same is 150 miles
Substitute 150 miles into any of the companies charges to find the charge
Company B = 55 + 0.30x
= 55 + 0.30(150)
= 55 + 45
= $100
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