(04/21 & 04/22) 7th Pd Unit 5B Quiz: Exponential Word Problems

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.LE.A.2

 Calculate the value of each investment then determine which investment would be worth the most after 30 years.?

• An initial investment of $7000 is compounded monthly at a rate of 4.5% for 30 years.

• An initial investment of $7000 is compounded quarterly at a rate of 4.8% for 30 years.

• An initial investment of $7000 is compounded continuously at a rate of 5% for 30 years.

• They are all equal

A culture of bacteria triples by the end of each hour. If there are 568 bacteria in a culture at 5 PM, then how many bacteria were there at 1 PM (i.e 4 hours ago)?

(ROUND TO THE NEAREST WHOLE NUMBER)

• 46008

• 9088

• 35

• 7

Tags

CCSS.HSF.LE.A.4

Victor bought his truck new for $34,000. Its value decreases 6.5 % each year. In approximately, how many years will the value of the truck be half of what he paid for it?

(HINT: Activating Strategy)

• 10.3 Years

• 11. 5 Years

• 12.8 Years

• 13.3 Years

The value of a new car depreciates over time. Alice purchased a new car in May 2017. The value, , of her car after  years can be modeled by the equation  $\log_{0.8}\left(\frac{V}{28,000}\right)=t$ 

If you wanted to know the specific value (v) of the car after years, how could you rewrite the equation|?

•  $V=\log_{0.8}\left(28,000\right)$ 

•  $V=\ 28,000\left(8\right)^t$  

•  $V=28000\left(0.8\right)^t$