Question

At the end of the summer, the Club had enough money from the lawn- mowing group and other fundraising efforts to pay for a bus ride and admission to an amusement park.

1. Suppose 325 club members want to go, and each bus holds 60 club members. How many buses are needed for the trip?

2. Suppose the bus company charges $2.95 per mile for each bus. What is the cost per bus for the 124-mile round trip? What is the cost for all buses combined?

3. Suppose the bus company charges 6% sales tax. What are the tax and the total bill?

4. Suppose the trip takes 3 hours and 15 minutes of driving time for the 124-mile round trip. What is the average speed of the buses in miles per hour.

Answer 1

1. 6 buses
2. $365.80 per bus; $2194.80 combined cost
3. $131.69 tax; $2326.49 total
4. 38.2 mph

Explanation:

1.

The number of buses (b) can be found from ...

60b ≥ 325

b ≥ 325/60 = 5 5/12

We want the smallest integer number of buses that will satisfy this requirement, so we need 6 buses.

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2.

The cost for each bus is ...

($2.95/mi)(124 mi) = $365.80 . . . per bus

If 6 buses are used, the total cost is ...

6 × $365.80 = $2194.80 . . . combined cost

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3.

Tax is 6% of the bill, so is ...

0.06 · $2194.80 = $131.69 . . . tax on the bill

Then the total bill is ...

$2194.80 +131.69 = $2326.49 . . . total bill

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4.

The relation between speed, distance, and time is ...

speed = distance/time

speed = 124 mi/(3.25 h) ≈ 38.15 mi/h

The average speed of the buses is about 38.2 miles per hour.