Lesson 16 Mastery Check

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6x^h

• f(h) = 6(3)^h

• f(h) = 3(6h)

Tags

CCSS.HSF.LE.A.2

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

• f(h) = 75(-5)^h

• f(h) = -5(75)^h

• f(h) = .95(75)^h

• f(h) = 75(.95)^h

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Which equation best represents this situation?

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. Which equation best represents this situation?

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

The company Roscoe works for is seeing a 5% growth in profits every year. If the company makes $360,000 this year, write an equation that will show the company's growth in profits.

• y = 360,000(1.05x)

• y = 360,000(5x)

• y = 360,000(5)^x

• y = 360,000(1.05)^x

Tags

CCSS.HSF.LE.A.2

Jessica found an element that has a half life of 1 year. If Jessica has 20g of the element, write an equation that will show the amount left after t years.

• f(t) = 20(.5)^t

• f(t) = 20(1.5)^t

• f(t) = 20(1.05)^t

• f(t) = 20(.05)^t

Tags

CCSS.HSF.LE.A.2

What is the exponential equation?

A population of 800 beetles is increasing each month at a rate of 5%.

• y=800(1.05)^x

• y=800(.95)^x

• y=800(5)^x

• y=1.05(800)^x

Tags

CCSS.HSF.LE.A.2

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly
• Mr. Bittle initially invested $24,220
• Each month Mr. Bittle loses less money than the prior month

Tags

CCSS.HSF.LE.B.5

You buy a house for $130,000 and it appreciates 6% per year. How much is it worth in 10 years?

• $14,300,000

• $232,810

• $267.13

• $219,632

Tags

CCSS.HSF.BF.A.2