Exponential Growth and Decay Word Problems

In the formula y = a(1±r)^t, what does the "a" represent?

• The total after the increase or decrease

• The initial amount

• The Rate of Change

• The number of times the change has happened over time

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

In the formula y = a(1±r)^t, what does the "t" represent?

• The total after the increase or decrease

• The initial amount

• The Rate of Change

• The number of times the change has happened over time

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

In the formula y = a(1±r)^t, what does the "r" represent?

• The total after the increase or decrease

• The initial amount

• The Rate of Change

• The number of times the change has happened over time

Tags

CCSS.HSF.LE.B.5

In the formula y = a(1±r)^t, what does the "y" represent?

• The total after the increase or decrease

• The initial amount

• The Rate of Change

• The number of times the change has happened over time

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If something decays at a rate of 2.5% per hour, what would "t" be over two days?

• 2

• 24

• 48

• .025

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

If something changed at a rate of 3% per week, what would "t" be over a time of one year?

• 1

• 7

• 12

• 52

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

If something changed at a rate of 5% every two minutes, what would "t" be for a time period of 35 minutes?

• 35

• 17.5

• 17

• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Given the function f(x) = 1.07^x, how do you know this is an exponential function?

• Because the variable is in the exponent

• Because the base has a decimal in it

• Because f(x) is there

• Because my teacher told me

Tags

CCSS.HSF.LE.A.1

Given the function f(x) = 1.07^x, how do you know the exponential function shows growth or decay?

• Growth or decay is determined by the value of the base

• Growth or decay is determined by the value of the exponent

• Because exponential functions are always growth functions

• Because exponential functions are always decay functions

Tags

CCSS.HSF.LE.B.5

Given the function f(x) = 1.07^x, is this a growth or decay function?

• Growth

• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

CCSS.HSF.LE.B.5