Chapter 5 Exponentials and Log Review

Simplify.  Make sure all exponents are positive.

• a
• b
• c
• d

You bought a car for $6,500.  The value of your car depreciates 4.5% per year.  What is the correct function the represents this situation?

• y=6500(1+.045)^x
• y=6500(1-.045)^x
• y=6500(4.5)^x
• y=(1-4.5)^x

Write the function that represents this situation: You invest $215 into an account that gives you 2.5% annual interest. 

• y=215(1+2.5)^x
• y=215(1-2.5)^x
• y=215(1+.025)^x
• y=215(1-.025)^x

You stumble upon an account that gives you a whopping 7% annual interest.  How long will it take you to double your initial deposit of $225 if you do not withdraw or deposit any money?

• about 7.35 years
• about 8.17 years
• about 9.24 years
• about 10.24 years

The following function represents the amount of money in Tony's mutual fund:
A=600(1.04)^x.  What does the 1.04 stand for?

• The amount in his account increases at 4% a year.
• The amount in his account increases at 96% annually.
• The starting value is 1.04
• It takes 1.04 years for his money to double.

The following function represents the squirrel population at the local park in 2000:
y=19(1-.08)^x
What does the (1-.08) mean?

• There are 19 squirrels in the park in 2000.
• Each year there are 92% of the squirrels remaining from the previous year.
• Each year there are 8% of the squirrels remaining from the previous year.
• The population of squirrels is growing exponentially.

The population in St. Louis Park in 2000 was 33,685 people.  If the growth rate since then is 3.3% per year and continues at this rate, what year will the population reach 40,000?

• 2.29 years
• 3.29 years
• 4.29 years
• 5.29 years

What does the 4 stand for in this equation?

• Starting value
• .15% annual interested compounded quarterly
• 15% interest compounded quarterly
• 15% interest compounded monthly

You buy a new iPhone X for $1000 using a your credit card that charges 15% APR compounded monthly.  If you do not make any payments on the amount you owe, how much would you owe after 1 year?

• $1000
• $1015.46
• $1100.87
• $1160.75

2 ⋅ 2³⋅ 2⁵

• 8⁸
• 2⁸
• 8⁹
• 2⁹

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2