Exponential in Context

"Claire purchased a rare baseball card $400. Experts estimate that its value will increase by 8% each year." Write a function to model the situation.

Tags

CCSS.HSF.LE.A.2

Hank's car depreciates 14% in value each year. He purchased it for $19,800. Write a function to model the situation.

Tags

CCSS.HSF.LE.A.2

A new business opens and sells $50 worth of inventory the first month. As time goes on, the owner notices that they triple the amount of inventory sold every month. Write a function to represent M(i), the amount of money made per month since the store has been open.

• M(i) = 50(0.3)ⁱ

• M(i) = 50⁽³⁾ⁱ

• M(i) = 50(3)ⁱ

• M(i) = 50(3)(i)

Tags

CCSS.HSF.LE.A.2

A skydiver free falls at a speed of 180 miles per hour, and once the parachute opens, their speed decreases by 14% every millisecond. Write a function to represent this scenario.

• D(t) = 180(0.14)^t

• D(t) = 180 + (0.14)^t

• D(t) = 180 + (0.86)^t

• D(t) = 180(0.86)^t

Tags

CCSS.HSF.LE.A.2

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CCSS.HSF-IF.C.7E

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Tags

CCSS.HSF.LE.A.2

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

Tags

CCSS.HSF-LE.A.1A

You open your first savings account with a deposit of $100. You are told you will see a return of 8% annually. Write a function to represent this scenario.

• h(x) = 100(0.08)^x

• h(x) = 100(0.92)^x

• h(x) = 0.08(100)^x

• h(x) = 100(1.08)^x

Tags

CCSS.HSF.LE.A.2

Given the table of the function g(x), which statement(s) is/are true? Select all that apply.

• g(x) is a linear function

• The y intercept is (0, 5)

• g(x) models exponential growth

• The function for the table is g(x) = 5(2.5)^x

• The function for the table is g(x) = 5(1.5)^x

Tags

CCSS.HSF-LE.A.1A

The represents ordered pairs of the function f(x). Which of the following statements are true? Select all the apply.

• f(x) is modeling exponential decay

• The decay factor is 0.125

• The decay factor is 0.875

• The y intercept is 960

• The y intercept is 120

Tags

CCSS.HSF-LE.A.1A