3.15.24 Growth/Decay - Algebra I Quiz

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Which of the following functions shows an initial amount of $75 and a decrease of 12% each year?

• y = 75(12)^x

• y = 75(1 + 0.12)^x

• y = 75(0.88)^x

• y = 75(88)^x

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

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

Change 6.75% to a decimal.

• 67.5
• .675
• 675
• .0675

Change 11.2% to a decimal.

• 11.2

• 1.12

• 0.112

• 0.0112

What is the decay rate in the following model?
A=1200(.85)⁶

• 1200

• 0.15

• 0.85

• 6

Give the rate of decay:
y = 35(0.65)^x

• 35%
• 65%
• 0.35%

• 165%

You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover all course fees and books. How much money will you have to pay back for this loan when you graduate in 4 years (rounded to the nearest dollar)?

• $2,114,125,313

• $211,413

• $89,170

• $71,556