Exponential Growth/Decay Review Quiz

Suppose a laboratory has a 58 g sample of polonium-210.The half-life of polonium-210 is about 138 days. a. How many half-lives of polonium-210 occur in 414 days? b. How much polonium is in the sample 414 days later?

• 3; 19.33 g

• 4; 3.63 g

• 3; 7.45 g

• 3; 4.002 g

A boat costs $9850 and decreases in value by 7% per year. How much will the boat be worth after 6 years?

• $9,808

• $6,372.85

• $5,926.75

• $14,782.19

Identify the initial amount a and the growth factor b in the exponential function. A(x) = 860(6.2)^x

• 6.2, 860

• 860, 6.2

Suppose the population of a town is 12,800 and is growing 4% each year. A) write an equation to model the population growth. B) Predict the population after 9 years.

• y = 12,800(4)^x; about 18,218 people

• y = 12,800(4)^x; about 3,355,443,200 people

• y = 4(12,800)^x; about 460,800 people

• y = 12,800(1.04)^x; about 18,218 people

Tags

CCSS.HSF.LE.A.2

Chase scored 14 points on Monday, and he doubled his score each day thereafter. How many points did he score on Thursday?

• 224 points
• 112 points
• 56 points
• 42 points

Suppose an investment of $6,600 doubles in value every 8 years. How much is the investment worth in 40 years?

• $211,200

• $105,600

• $66,000

• $528,000

Match the table with the function that models the data.

• y = (x)⁴

• y = 4x

• y = (4)^x

Match the rule with the graph of the function: y = 10(4)^x

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• 
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Suppose a population of 350 crickets doubles in size every 4 months. How many crickets will there be after 2 years?

• 1,400 crickets

• 5,600 crickets

• 4,000 crickets

• 22,400 crickets

What is the solution to the system of equations?

x + 4y = 8

2x + 5y = 13

• (4,1)

• (-12,-1)

• (-4,-1)

• (12,1)