Math 1 EO2a Exponential Growth

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

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

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.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 mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.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

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

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1.03)^x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?

• 20 years
• 26 years
• 30 years
• 36 years

Tags

CCSS.HSF.LE.A.4

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990? 

• 0 people
• 7,000
• I don't know
• 6191

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 2000? 

• 10000
• 8600
• 9164
• 6191

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,022
• $400,500
• $15,000
• $28,500

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.LE.A.2