Question

(c) A car traveling on the Taconic Parkway travels 84 miles in two hours. What is the car's speed (a special type of rate) in miles per hour?

(d) A car salesperson earns a $500 fee per car she sells. If she sells 4 cars in one day, how much money does she earn in fees?

If there are 4 quarts in a gallon, and 2 pints in a quart, and 2 cups in a pint, then how many cups are in a gallon? Show your calculation or explain how you arrive at your answer.

A person driving along the road moves at a rate of 56 miles per hour driven. How far does the person drive in 1.5 hours? Show the calculation you use in your answer and give your answer proper units.

Answer 1

A car traveling at 42 miles per hour covers 84 miles in 2 hours. A salesperson earning $500 per car sells 4 cars, earning $2000. There are 16 cups in a gallon, and a person driving at 56 miles per hour travels 84 miles in 1.5 hours.

Step-by-step explanation:

To calculate the car’s speed in miles per hour on the Taconic Parkway, we use the formula:

Speed = Distance ÷ Time

In this case, the car travels 84 miles in 2 hours. Therefore:

Speed = 84 miles ÷ 2 hours = 42 miles per hour

The car's average speed is 42 miles per hour.

Next, to calculate the car salesperson’s earnings in fees, we multiply the number of cars sold by the fee per car:

Earnings = Fee per car × Number of cars sold

Earnings = $500 × 4 = $2000

The salesperson earns $2000 in fees for selling 4 cars.

For the volume-to-volume unit conversion, to find out how many cups are in a gallon, we need to multiply across the units:

1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups

To calculate:

1 gallon = 4 quarts × 2 pints/quart × 2 cups/pint

1 gallon = 4 × 2 × 2 = 16 cups

There are 16 cups in a gallon.

Finally, to figure out how far a person drives going at a rate of 56 miles per hour in 1.5 hours, we use the equation:

Distance = Speed × Time

Distance = 56 miles/hour × 1.5 hours = 84 miles

The person drives 84 miles in 1.5 hours.