Precalculus Review 3 & 4 - Word Problem and Arithmetic/Geometric

Select all the equations that represent exponential decay.

Tags

CCSS.HSF-IF.C.8B

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. Which equation represents the amount of penicillin remaining in your body?

Tags

CCSS.HSF.LE.A.2

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

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.HSA.CED.A.1

The amount of credit-card spending from Thanksgiving to Christmas has increased continuously by 14% per year since 1987. If 36.2 billion dollars were spent in 1987, what equation would represent the amount, A, in billions of dollars of credit-card spending during the holiday period in a given year where t is the number of years from 1987?

Tags

CCSS.HSF.LE.A.2

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 51 mg
• 284 mg
• 1843 mg
• 116 mg

Tags

CCSS.HSF.LE.A.4

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

• 1,069 people
• 894 people
• 816 people
• 854 people

Tags

CCSS.HSF-LE.A.1C

The population of 500 bees doubles every half of a year. How many months will it take for the population to increase to at least 9000 bees?

• 3 months

• 18 months

• 25 months

• 26 months

Tags

CCSS.HSF.LE.A.4

What is the value of a $3500 investment after 5 years that has an 8% interest rate that is compounded quarterly?

• $3864.28

• $5200.82

• $5142.65

• $16,313.35

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

• 225
• 325
• 425
• 525

Tags

CCSS.HSF.BF.A.2