Exponential Word Problems

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

• $y=100\left(2\right)^x$

• $y=100\left(\frac{1}{2}\right)^x$

• $y=2x\ +\ 100$

• $y=\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

What would be the "a" value (initial value) for this problem?

A local zoo has a population of 32 meerkats. They are doubling every 5 years. How many would there be in 10 years?

• 32

• 2

• 5

• 10

Tags

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

CCSS.HSF.LE.B.5

What would be the "b" value (multiplier) for this problem?

A local zoo has a population of 32 meerkats. They are doubling every 5 years. How many would there be in 10 years?

• 32

• 2

• 5

• 10

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Solve this problem: When the apocalypse began, there were 5 zombies. Each day that number tripled. How many zombies would there be after a week (7 days)?

• 22

• 9,218

• 10,935

• 915

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write an equation for this problem: Mrs. Madison brings in 3 dozen donuts for your class. Each hour, y'all eat a third of them. How many donuts would be left after x hours?

•  $y=3\left(\frac{1}{3}\right)^x$  

•  $y=3\left(\frac{2}{3}\right)^x$  

•  $y=36\left(\frac{2}{3}\right)^x$  

•  $y=36\left(\frac{1}{3}\right)^x$  

Solve the problem: Mrs. Madison has discovered she likes to crochet. She went out an bought 7 skeins of yarn to start her collection. That collection has doubled each month. How many skeins of yarn would she have after 6 months?

• 512 skeins

• 448 skeins

• 98 skeins

• 235,298 skeins

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What would be the multiplier for this problem?

Matt has the chicken pox. On day one, he counted that he had 10 spots. Each day that number quadruples. How many would he have after 3 days?

• 10

• 3

• 4

• 1/4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write an equation for this problem:

A population of 1200 bacteria is doubling each day for x days.

• $y=1200\left(2\right)^x$

• $y=1200\left(\frac{1}{2}\right)^x$

• $y=2^x$

• $y=2x\ +\ 1200$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2