Exponential Decay and Growth

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years.

• 9,689

• 6,719

• 52,428

• 5,150

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

Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded annually. Find the account balance after 5 years.

• 2489

• 1598

• 1415

• 37073984

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

The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. What was the population of Smalltown in the year 1915?

• 14,658

• 15,688

• 24,000

• 25,369

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

A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. How much of the substance remains after 30 years.

• 8.58

• 7.25

• 172.87

• 9.36

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

• time

• rate

• initial value

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

In the equation 𝑦 = 2.1 (1.04) 𝑥 , what is the initial value?

• 1.04%

• 2.1

• 1.04

• 2.1 %

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

• A

• B

• C

• D

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

• A

• B

• C

• D

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

A population of ants quadruples every day. Initially, there are 10 ants.

• y = 10 (2) * 4

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

James has a 70 inch giant peach. It doubles in size every week. Write an expression that would represent how big the peach is after x weeks.

• y = 2 (10)

• y = 70 (2)

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2