Exponential Word Problems with Compound Growth and Half-Like

You have 30,016 grams of radioactive kind of rubidium. How much will be left after 54 minutes if its half-life is 18 minutes?

• 15,008 grams.

• 7,504 grams

• 3,752 grams.

• 1,876 grams.

Tags

CCSS.HSF.LE.A.4

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing?

• 1.06(1.99)^t

• 1.99(1.06)^t

• [1.06(1.99)]^t

• 1.99(.94)^t

Tags

CCSS.HSF.LE.A.2

What is the initial value for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

The population of Hickory NC, can be modeled by P=6191(1.04)t where t is the number of years since 1995. What was the population in 1995?

• 6191

• 1

• 1995

• 1.04

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

• 100,144 people

• 1,083,024 people

• 1,044,856 people

• 200,000 people

Tags

CCSS.HSF-LE.A.1C

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Tags

CCSS.HSF-LE.A.1C

If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.

• 25mg

• 1.25g

• 10g

• 10mg

Tags

CCSS.HSF.LE.A.4

What does the a in y=a(1+r)^x  represent?

• Time

• Rate

• Slope

• Initial Amount

Tags

CCSS.HSF-IF.C.8B

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

• 3.0g

• 0.25mg

• 0.3g

• 0.25g

Tags

CCSS.HSF.LE.A.4