Quiz about (2/28,29) Exponential Growth, Decay, & Rules

Question 1

$$\frac{5^8}{5}=?$$

Accepted Answer

$$5^7$$

Answer

$$5^8$$

Answer

$$5^9$$

Answer

$$5^6$$

Question 2

$$9^0\cdot9^9=?$$

Accepted Answer

$$9^9$$

Answer

$$9^1$$

Answer

$$9^{10}$$

Answer

$$9^0$$

Question 3

An island population of 20,000 decreases by 1/7 every year. What is the decay factor?

Accepted Answer

$$\frac{1}{7}$$

Answer

$$7$$

Answer

$$\frac{6}{7}$$

Answer

$$\frac{8}{7}$$

Question 4

An island population of 20,000 decreases by 1/7 every year. Write an equation relating $$p$$ , the total population to $$t$$ , the number of years that have gone by

Accepted Answer

$$p=20000\cdot\left(\frac{6}{7}\right)^t$$

Answer

$$t=20000\left(\frac{1}{7}\right)^p$$

Answer

$$t=20000\left(\frac{6}{7}\right)^p$$

Answer

$$p=20000\left(\frac{1}{7}\right)^t$$

Question 5

An island population of 20,000 decreases by 1/7 every year. What is the population after 4 years?

Accepted Answer

$$10795$$

Answer

$$12595$$

Answer

$$2857$$

Answer

$$5438$$

Question 6

The number of followers on a social media account starts off at 1,250 and doubles every day. Write an equation relating $$f$$ , the number of followers to $$d$$ , the number of days

Accepted Answer

$$f=1250\cdot2^d$$

Answer

$$d=2\cdot1250^f$$

Answer

$$d=1250\cdot2^f$$

Answer

$$f=2\cdot1250^d$$

Question 7

The number of followers on a social media account starts off at 1,250 and doubles every day. How many followers does the account have after 2 days?

Accepted Answer

$$5000$$

Answer

$$1250$$

Answer

$$2500$$

Answer

$$3750$$

Question 8

The number of followers on a social media account starts off at 1,250 and doubles every day. When does the number of followers reach 20,000?

Accepted Answer

After 4 days

Answer

After 2 days

Answer

After 3 days

Answer

After 5 days

(2/28,29) Exponential Growth, Decay, & Rules

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