Constant Rate of Change Word Problems

At 4 P.M., the level of the water in the lake was 10 feet. At 8 P.M., the level of water was 2 feet. Determine the constant rate of change of the water.

• 4 feet per hour

• -2 feet per hour

• 2 feet per hour

• 10 feet per hour

Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.

• $80/month

• $20/month

• $40/month

• $60/month

The temperature at noon was 90°F. By 4 P.M., the temperature was 74°F. Determine the constant rate of change of the temperature.

• 10°F per hour

• -4°F per hour

• -2°F per hour

• 4°F per hour

Sara was 45 inches tall. Eighteen months later, she was 54 inches tall. Determine the constant rate of change for Jaz’s height.

• 0.5 inches per month

• 0.25 inches per month

• 2 inches per month

• 1 inch per month

A battery discharges from 100% to 20% over 10 hours. What is the constant rate of change of the battery's charge?

• -5% per hour

• -8% per hour

• -10% per hour

• -12% per hour

A person reads 180 pages of a book in 6 hours. What is the constant rate of change of pages read per hour?

• 20 pages per hour

• 30 pages per hour

• 40 pages per hour

• 50 pages per hour

Which of the following scenarios represents a constant rate of change?

• The amount of gas in a car's tank as it drives on a highway.

• The height of a balloon as it is filled with helium.

• The speed of a roller coaster as it goes through loops and turns.

• The amount of water in a bathtub being filled at a steady rate.

A faucet fills a bucket with 8 liters of water in 2 minutes. What is the constant rate of change of the water volume in the bucket?

• 2 liters per minute

• 4 liters per minute

• 6 liters per minute

• 8 liters per minute

A company produces 400 units of goods in 8 hours. What is the constant rate of change of production?

• 40 units per hour

• 50 units per hour

• 60 units per hour

• 70 units per hour

A mechanic performs oil changes on automobiles. The table shows linear relationships between the number of oil changes completed after different amounts of times.

Choose the correct answer from each drop-down box to complete the sentence.

The mechanic completes ​ ​ (a)   oil changes per hour, which represents the ​ (b)   ​ of the linear function

• 3

• rate of change

• 4.5

• y-intercept