Logs/Expo/ Growth and Decay

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.80

• ^1.08

• .92

• 8

Tags

CCSS.HSF-IF.C.8B

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

James' 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

Tags

CCSS.6.EE.A.1

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

Tags

CCSS.7.RP.A.3

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9676

• 9706

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

• $3122.18
• $4994.50
• $4440.73
• $86,776.40

Tags

CCSS.HSF.BF.A.2

Rewrite the equation in exponential form.

• 15^-2=(1/225)
• -2¹⁵=(1/225)
• 225^-2=15
• 15²=(1/225)

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form.

• 2⁴=16
• 4²=16
• 16⁴=2
• 4¹⁶=2

Tags

CCSS.HSF.BF.B.5

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3