Growth and Decay Problems

What is the initial value for the exponential function:

f(x) = 300(1.16)^t?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.LE.B.5

Is this exponential growth or decay?

• Growth
• Decay

What does the model P=A(1+r)^t best represent?

• Exponential growth
• Simple Interest
• Compound Interest
• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

What type of function is f(x)=2(0.05)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

A new savings account is opened with $400 and gains 3% every year. What's the amount after 5 years?

• $415

• $463.71

• $343.49

• $460.12

Tags

CCSS.HSF.BF.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

A city has a population of 21,517 based on a census taken in 1998. If the population is expected to grow by 11% annually, what will the population be in the year 2030?

• 606,900
• 517
• 492,573
• None of these

Tags

CCSS.HSF-LE.A.1C

Give the rate of decay:
y = 35(0.65)^x

• 35%
• 65%
• .35%
• 165%

Tags

CCSS.HSF-IF.C.8B

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
How much money will you have after 14 days?

• $ 819.20
• $ 8,192.00
• $ 1.40
• $ 819.02

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.

What is the y-intercept? OR What is the starting number, “a”?

• (0, .05)

• (0,2)

• (0, .1)

• (0,0)

Tags

CCSS.HSF.LE.B.5