Read the growth or decay rate from y = a(1 ± r)ᵗ
9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.B.5, HSF.IF.C.8.B · England: GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Sam's laptop battery loses 20% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
Answer
Question 2
y = 700(1.15)ᵗ. Which describes the change each time period?
- A. growth of 115%
- B. decay of 15%
- C. growth of 15%
Question 3
Fatima's video channel has 2000 subscribers and grows by 8% each month. Which model gives the subscribers after t months?
- A. y = 2000(0.08)ᵗ
- B. y = 2000 + 8t
- C. y = 2000(1.08)ᵗ
- D. y = 2000(0.92)ᵗ
Question 4
Jamal'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 5
y = 290(1.04)ᵗ. Which describes the change each time period?
- A. growth of 4%
- B. decay of 4%
- C. growth of 104%
Question 6
A medicine dose of 1200 mg in the body falls by 25% each hour. Which model gives the amount after t hours?
- A. y = 1200(0.25)ᵗ
- B. y = 1200(0.75)ᵗ
- C. y = 1200(1.25)ᵗ
- D. y = 1200 − 25t
Question 7
Sam'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 8
y = 470(0.97)ᵗ. Which describes the change each time period?
- A. growth of 3%
- B. decay of 3%
- C. growth of 97%
- D. decay of 97%
Question 9
Zoe's video channel has 2350 subscribers and grows by 6% each month. Which model gives the subscribers after t months?
- A. y = 2350(1.06)ᵗ
- B. y = 2350(0.94)ᵗ
- C. y = 2350(0.06)ᵗ
- D. y = 2350 + 6t
Question 10
Kwame's laptop battery loses 25% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
Answer
Question 11
y = 510(0.95)ᵗ. Which describes the change each time period?
- A. decay of 5%
- B. decay of 95%
- C. growth of 95%
- D. growth of 5%
Question 12
A medicine dose of 1200 mg in the body falls by 12% each hour. Which model gives the amount after t hours?
- A. y = 1200 − 12t
- B. y = 1200(1.12)ᵗ
- C. y = 1200(0.12)ᵗ
- D. y = 1200(0.88)ᵗ
Question 13
Ines'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 14
y = 270(0.75)ᵗ. Which describes the change each time period?
- A. decay of 75%
- B. growth of 25%
- C. growth of 75%
- D. decay of 25%
Question 15
A medicine dose of 400 mg in the body falls by 25% each hour. Which model gives the amount after t hours?
- A. y = 400(1.25)ᵗ
- B. y = 400 − 25t
- C. y = 400(0.25)ᵗ
- D. y = 400(0.75)ᵗ
Question 16
Sofia's laptop battery loses 5% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.
Answer
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