TEST 9 ALG II

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+ 0.14)^x

• y=6(1 - 0.14)^x

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

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Is this exponential growth or decay?

• Growth
• Decay

What is the horizontal asymptote of the exponential function?

• y=-3
• x=-3
• y=1
• x=1

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

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

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

• $8,881.47
• $7,432.93
• $8,400
• $6,500

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23