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Writing and interpreting exponential functions

Authored by Wayground Content

Mathematics

9th - 12th Grade

Writing and interpreting exponential functions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

In the year 2010, a scientist determined there were 3000 of a certain type of fish in a lake. The table shows the fish population in the lake increased exponentially at a rate of 10% each year.

Based on this information, which equation can be used to predict the fish population 3 years after 2010?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A

B

C

D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Question 7

What is the equation for this problem?

y=500,000(1+0.05)xy=500,000(1+0.05)^x

y=1.05(500,000)xy=1.05(500,000)^x

y=500,000(10.05)xy=500,000(1-0.05)^x

y=500,000(0.95)xy=500,000(0.95)^x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the explicit formula for the sequence?


2, 6, 18, 54, ...

 an=9(5)n1a_n=-9\left(-5\right)^{n-1} 

 an=10(5)n1a_n=-10\left(-5\right)^{n-1} 

 an=2(3)n1a_n=2\left(3\right)^{n-1} 

 an=2(3)n1a_n=2\left(-3\right)^{n-1} 

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y = 5000(130100)ty\ =\ 5000\left(1-\frac{30}{100}\right)^t

y = 5000(1+30100)ty\ =\ 5000\left(1+\frac{30}{100}\right)^t

y = 30(15000100)ty\ =\ 30\left(1-\frac{5000}{100}\right)^t

y = 30(1+5000100)ty\ =\ 30\left(1+\frac{5000}{100}\right)^t

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation that models the function below as a function of time in weeks.

You have $100 and spend $5 every week.

f(x)=100x+5

f(x)=5x+100

f(x)= -5x+100

f(x) = 5x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

On Tuesday, 1,569 people tested positive for Covid-19 in Louisiana. The number of people who test positives grows exponentially over the next few days. The rate of growth is 1.2% per day. Write an equation that represents the number of people that test positive for Covid-19 after t days.

y=1569e.012ty=1569e^{.012t}

y=1569e1.2ty=1569e^{1.2t}

y=1.2e1569ty=1.2e^{^{1569t}}

y=0.012e1569ty=0.012e^{1569t}

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