Exponential growth and decay

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

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C

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

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

A household appliance loses its value after it is purchased. Its current value, V(t), can be modeled by the function, V(t)= V₀(3/4)^t, where V₀ is the original price, and t is the number of years. How long will it take for a refrigerator initial cost $850 to be worth $65? Round to the nearest year.

• 9 years

• 13 years

• 8 years

• 10 years

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Approximately what interest rate would be needed in order to grow and investment of $1400 to $2500 in 10 years if the interest was compound monthly?

• 5.96%
• 5.84%
• 5.81%
• 5.88%

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

Which of the following is a model for the growth described below:

The number of bison in a herd increases 4% each year. The herd started with 24 bison.

• A=24e^.04t

• A=24e^4t

• A=24(1+.04)^t

• A=24(1-.04)^t

Which of the following is a model for the following situation:

The number of bacteria in a certain lake increases continually at 6% each year. There are currently 6,000 bacteria

• A=6000e^.06t

• A=6000e^.6t

• A=6000(1+.06)^t

• A=6000(1+6)^t

The population of a town is modeled by the equation:

P=360(1.07)^t

How long will it take the population to grow to 500 people?

• t=4.87 years

• t=5.21 years

• t=3.52 years

• t=8 years