End of Unit 5 Review #2

The coyote population in a national park can be written as the function below where x is the number of 20-year time periods.

 $c\left(x\right)=15\cdot3^x$  

As x increases by 1, the coyote population increases by a FACTOR of...

(a)  

Tags

CCSS.HSF.LE.B.5

The coyote population in a national park can be written as the function below where x is the number of 20-year time periods.

 $c\left(x\right)=15\cdot3^x$  

As x increases by 5, the coyote population increases by a FACTOR of...

(a)  

Tags

CCSS.HSF-IF.C.8B

A computer virus spreads to devices across the country, increasing the number of computers infected by 8% every hour. If the infected computers are currently 1,500, what will the number of infected computers be in 4 hours?

• $1500$

• $1500\cdot0.08^4$

• $1500\cdot1.08\cdot4$

• $1500\cdot1.08^4$

Tags

CCSS.HSF-LE.A.1C

The bug infestation on a farm decreases by 12% every day after the pesticide is sprayed. If the bug population is currently 100,000, what will the population be in one week?

• $100000\cdot1.12^7$

• $100000\cdot0.88^7$

• $100000\cdot0.88^1$

• $100000\cdot1.12^1$

Tags

CCSS.HSF.BF.A.2

The Tik Tok craze started with 12 people involved. Since then, it has grown by 4% each month. If it continues to grow at this rate, which expression DOES NOT represent the number of people that would be involved after 3 years?

•  $12\cdot1.04^{36}$  

•  $12\cdot\left(1.04^{12}\right)^3$  

•  $12\cdot1.04^{12}$  

•  $12\cdot\left(1.04^3\right)^{12}$  

Tags

CCSS.HSF.BF.A.2

A saving’s account earns 7% interest each year, compounded semi-annually. If a person invests $500 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?

• $612.52

• $614.63

• $554.36

• $750.37

A saving’s account earns 6% interest each year, compounded monthly. If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 4 years?

• $127.05

• $126.25

• $102.02

• $1639.39

An investment account earns 12% interest each year, compounded quarterly. If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 2 years?

• $472.06

• $742.79

• $318.27

• $380.03

 $t\left(x\right)=4\cdot1.15^x$  

models the number of mutant turtles, t, and x represents the number of years since 1990.

By what percentage do the number of turtles increase or decrease each year according to the model?

• 115% increase

• 15% increase

• 4% increase

• 85% decrease

Tags

CCSS.HSF-IF.C.8B

 $t\left(x\right)=4\cdot1.15^x$  

models the number of mutant turtles, t, and x represents the number of years since 1990.

What is the number of mutant turtles in 2020?

• 265 mutant turtles

• 65 mutant turtles

• 24 mutant turtles

• 138 mutant turtles