Remediation 3.1 CFA

Multiple Choice

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Multiple Choice

Is y = 4(.20)^x growth or decay?

• Growth

• Decay

Multiple Choice

What is the initial amount for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

Which of the following is an example of exponential decay?

• $$y\ =\ 5^x$$  

• $$y\ =\ \left(\frac{1}{2}\right)5^x$$  

• $$y\ \ =\ \left(\frac{1}{3}\right)^x$$  

• $$y\ =\ 8\ \left(4\right)^x$$  

Multiple Choice

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Multiple Choice

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Multiple Choice

The function 

$$f(x)=1600\cdot2^x$$   gives the number of insects after x years. How many insects were there initially?

• 1600

• 2

• There is not enough information to tell.

Multiple Choice

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Multiple Choice

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.

How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Multiple Choice

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

Multiple Choice

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9760

• 5433

Multiple Choice

A population of fish starts at 8,000 and increases by 6% per year.

What is the fish population in 10 years?

• $$14,327$$

• $$4,309$$

• $$839$$

• $$7,680$$

Multiple Choice

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

• $33,299.42       playing dodgeball
• $33,672.68   climbing trees
• $34,157.04         riding unicycles
• $34,710.88      flipping pancakes

Multiple Choice

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

• $6,273.50  frustrated
• $6,314.08 bewildered
• $6,385.72         pleased
• $6,427.94           tickled pink

Multiple Choice

Caiden deposited $475 in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52

• $831.10

• $839.45

• $846.80

Multiple Choice

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Multiple Choice

Shawn is buying a new Jet Ski for $12,500. He is considering 2 credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with10% interest compounded annually.Which option is better and how much will he save?

• A) A; $495.21 raise money for charity
• B) A; $573.83 get attention
• C) B; $495.21 get on the news
• D) B; $573.83 do something crazy

Continous Compound Interest

A = Total amount of money
P = Principle (initial amount)
r = Rate as a decimal
t = time

Multiple Choice

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

Multiple Choice

Mr. T invested $15,000 in an account that pays 5% interest compounding continuously, how much is in the account after 5 years? 

• $15,500.50
• $19,260.38
• $19,260.40
• $21,500.25