Read the growth or decay rate from y = a(1 ± r)ᵗ

Question 1

A medicine dose of 200 mg in the body falls by 8% each hour. Which model gives the amount after t hours?

• A. y = 200(0.92)ᵗ
• B. y = 200(1.08)ᵗ
• C. y = 200 − 8t
• D. y = 200(0.08)ᵗ

Question 2

Mei's laptop battery loses 5% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

Answer 

Question 3

y = 200(1.1)ᵗ. Which describes the change each time period?

• A. growth of 10%
• B. growth of 110%
• C. decay of 10%

Question 4

A medicine dose of 1050 mg in the body falls by 3% each hour. Which model gives the amount after t hours?

• A. y = 1050(0.97)ᵗ
• B. y = 1050(0.03)ᵗ
• C. y = 1050(1.03)ᵗ
• D. y = 1050 − 3t

Question 5

Grace's laptop battery loses 10% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

Answer 

Question 6

y = 260(1.04)ᵗ. Which describes the change each time period?

• A. growth of 104%
• B. decay of 4%
• C. growth of 4%

Question 7

A medicine dose of 2500 mg in the body falls by 4% each hour. Which model gives the amount after t hours?

• A. y = 2500(0.96)ᵗ
• B. y = 2500 − 4t
• C. y = 2500(0.04)ᵗ
• D. y = 2500(1.04)ᵗ

Question 8

Kwame's laptop battery loses 10% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

Answer 

Question 9

y = 710(1.2)ᵗ. Which describes the change each time period?

• A. decay of 20%
• B. growth of 20%
• C. growth of 120%

Question 10

Ana's video channel has 1550 subscribers and grows by 6% each month. Which model gives the subscribers after t months?

• A. y = 1550(0.06)ᵗ
• B. y = 1550(0.94)ᵗ
• C. y = 1550(1.06)ᵗ
• D. y = 1550 + 6t

Question 11

Chloe's laptop battery loses 12% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

Answer 

Question 12

y = 750(0.96)ᵗ. Which describes the change each time period?

• A. growth of 4%
• B. decay of 96%
• C. decay of 4%
• D. growth of 96%

Question 13

A medicine dose of 2600 mg in the body falls by 12% each hour. Which model gives the amount after t hours?

• A. y = 2600(1.12)ᵗ
• B. y = 2600 − 12t
• C. y = 2600(0.88)ᵗ
• D. y = 2600(0.12)ᵗ

Question 14

Elena's laptop battery loses 5% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

Answer 

Question 15

y = 700(0.9)ᵗ. Which describes the change each time period?

• A. growth of 10%
• B. decay of 10%
• C. growth of 90%
• D. decay of 90%

Question 16

Arjun's video channel has 2250 subscribers and grows by 5% each month. Which model gives the subscribers after t months?

• A. y = 2250(1.05)ᵗ
• B. y = 2250 + 5t
• C. y = 2250(0.95)ᵗ
• D. y = 2250(0.05)ᵗ