Question

Bus charges $50 plus $0.40 a mile for renting a charter bus. Buses-4-U charges $35 plus $0.55 a mile. For what number of miles is Buses-4-U the less expensive company for renting a charter bus?

Answer 1

Buses-4-U is the less expensive option for renting a charter bus when the number of miles traveled is less than 100.

Step-by-step explanation:

To find out for which number of miles Buses-4-U is less expensive than the other bus company, we need to set up equations that represent the total cost of renting a bus from each company. Let m be the number of miles. The first company charges $50 plus $0.40 a mile, so their cost equation would be C = 50 + 0.40m. Buses-4-U charges $35 plus $0.55 a mile, so their cost equation would be C = 35 + 0.55m.

To find out when Buses-4-U is less expensive, we need to find when their cost is less than the cost of the other company:

35 + 0.55m < 50 + 0.40m

Now we'll solve for m to find the break-even point:

• Start by subtracting 0.40m from both sides of the inequality:
• 0.55m - 0.40m < 50 - 35
• This simplifies to:
• 0.15m < 15
• Next, divide both sides by 0.15 to find m:
• m < 15 / 0.15
• m < 100

Buses-4-U is the less expensive company for renting a charter bus for any number of miles less than 100.