Simple Exponential Growth and Decay Models

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Given the function h(x) =  3^x , find the value of x such that h(x)=27.

• 1

• 2

• 3

• 4

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

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

What does the a in y=a(1+r)^x  represent?

• Time

• Rate

• Slope

• Initial Amount

Is this exponential growth or decay?

• Growth

• Decay

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

Your 6 year investment of $40,000 at 14% interest compounded annually is worth how much now?

• $47,798.90

• $87,798.90

• $127,798

• $7,798

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62

• $2,651.39

• $2,706.86

• $1,825.10

You invest $400 for 5 years at an interest rate of 4.29% each year. Which equation models this?

• y=400(1 - 0.0429)⁵

• y=400(1+.0429)⁵

• y=400(1+ 4.29)⁵

• y=400e^0.049*5