Answer:
For more than 35 miles company A will charge less than company B
Step-by-step explanation:
Let us write the equation of the cost of each company
Company A:
∵ Company A charges $96 for unlimited mileage
∴ The cost of company A = 96
Company B:
∵ Company B charges an initial fee of $75
∵ It charges $0.6 for every mile driven
∵ The number of miles is m
- Multiply m by 0.6 and add 75 to the product
∴ The cost of company B = 75 + 0.6 m
∵ Company A will charge less than company b
∴ 96 < 75 + 0.6 m
- Subtract 75 from both sides
∴ 21 < 0.6 m
- Divide both sides by 0.6
∴ 35 < m
- That means m is greater than 35
∴ m > 35
For more than 35 miles company A will charge less than company B
