Exponential Modeling Quiz with Answers

Question 1

A culture starts with $200$ bacteria and grows by $8\%$ each hour. Which function models the population after $t$ hours?

Accepted Answer

$P(t)=200(1.08)^t$

Answer

$P(t)=200(0.08)^t$

Answer

$P(t)=200+0.08t$

Answer

$P(t)=200(1.08t)$

Question 2

A substance has a half-life of $10$ years. If you start with $80$ grams, how much remains after $30$ years?

Accepted Answer

$10$ grams

Answer

$80\left(	frac12ight)^{30}=	ext{tiny}$

Answer

$20$ grams

Answer

$40$ grams

Question 3

A city has two plans for annual donations to a park. Plan L donates 5,000 dollars the first year and increases by 500 dollars each year. Plan E donates 5,000 dollars the first year and increases by $6\%$ each year. In which year will Plan E first exceed Plan L? (Year 1 is the first year.)

Accepted Answer

Year 9

Answer

Year 3

Answer

Year 6

Answer

Year 12

Exponential Modeling Quiz with Answers

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