Exponential Growth Functions

What is the growth rate of the function f(x) = 300(1 + .5)^x

• 1.5

• x

• 50%

• 100%

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

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

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

Tags

CCSS.6.EE.A.1

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

What does C stand for: f(x)=C(1+r)^t

• New Amount

• Principal Amount (starting amount)

• Rate

• Time

What does r stand for: f(x)=C(1+r)^t

• New Amount

• Principal Amount (starting amount)

• Rate

• Time

What does t stand for: f(x)=C(1+r)^t

• New Amount

• Principal Amount (starting amount)

• Rate

• Time

A savings certificate of $1000 pays 6.5% annual interest compounded yearly. What is the balance when the certificate matures after 5 years?

• $1370.09

• $1174.24

• $1234.12

• $1345.22

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither