A1- Exponential Word Problems Day 1

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Is this growth or decay?

• Growth

• Decay

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.

What is the b value for this problem?

• 1.29

• .29

• .71

• 1.71

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(0.35)^x

• y = 15(1.35)^x

• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. Is this growth or decay?

• Growth

• Decay

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

James' 70 in. giant peach doubles in size every week. How many peaches will James have in 5 weeks?

What is the b value of this word problem?

• 70

• 5

• 2

• 1/2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many months will it take for there to be 5,678 mosquitoes?

What is the a value of the word problem?

• 4000

• 25

• 2

• 5679

Write an equation that models the following situation:

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.

• 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

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by approximately 4% per year. What is the b value of this equation?

• .96

• .04

• 1.04

• 1.4

In an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• COMMON RATIO