Math 1 Unit 3 Lesson 2

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

• $y\ =\ 5000\left(1-\frac{30}{100}\right)^t$

• $y\ =\ 5000\left(1+\frac{30}{100}\right)^t$

• $y\ =\ 30\left(1-\frac{5000}{100}\right)^t$

• $y\ =\ 30\left(1+\frac{5000}{100}\right)^t$

Tags

CCSS.HSF.LE.A.2

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.

(HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

•  $y\ =\ 2100\left(1-\frac{50}{100}\right)^t$  

•  $y\ =\ 2100\left(1+\frac{50}{100}\right)^t$  

•  $y\ =\ 50\left(1-\frac{2100}{100}\right)^t$  

•  $y\ =\ 50\left(1+\frac{2100}{100}\right)^t$  

Tags

CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

• $f\left(x\right)\ =\ 30,000\left(1\ +\ \frac{5}{100}\right)^t$

• $f\left(x\right)\ =\ 30,000\left(1\ -\ \frac{5}{100}\right)^t$

You invested $400 into an account with 7.5% interest rate compounded monthly. Which equation can be used to calculate how much you will have in 7 years?

• $f\left(x\right)\ =\ 7.5\left(1+\frac{400}{100}\right)^7$

• $f\left(x\right)\ =\ 400\left(1+\frac{7}{100}\right)^{7.5}$

• $f\left(x\right)\ =\ 400\left(1+\frac{7.5}{100}\right)^7$

• $f\left(x\right)\ =\ 7\left(1+\frac{7.5}{100}\right)^{400}$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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

Use the function below: $6000\left(1+\frac{4}{100}\right)^{10}$  

• $8,881.47

• $7,432.93

• $8,400

• $6,500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

What is the initial value?

• $35,000

• 0.05

• 1.05

• 0.95

Tags

CCSS.HSF-LE.A.1C

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

What is the growth rate?

• $35,000

• 0.05

• 1.05

• 0.95

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

What is the growth factor?

• $35,000

• 0.05

• 1.05

• 0.95

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

Does this situation represent growth or decay?

• growth

• decay

Tags

CCSS.HSF-IF.C.8B