A9B & A9C

Classify the model as Exponential GROWTH or DECAY.

f(x) = 10(1.01)^x

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Classify the model as Exponential GROWTH or DECAY.

f(x) = 1200(.85)^x

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

A bank account earning annual compound interest was opened, and no additional withdraws or deposits were made after the initial deposit. The balance in the account after x years can be modeled by b(x)=850(1.025)^x.

Which statement is the best interpretation of one of the values in this function?

• The initial balance in the account decreases at a rate of 97.5% each year.

• The balance in the account increases at a rate of 2.5% each year.

• The initial balance of the account was $1,025.

• The balance in the account at the end of one year is $850.

Tags

CCSS.HSF.LE.B.5

Scientist are studying a bacteria sample. The function f(x)=245(1.12)^x gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?

• The initial number of bacteria is 12.

• The initial number of bacteria decreases at a rate of 88% each day.

• The number of bacteria increases at a rate of 12% each day.

• The number of bacteria at the end of day one is 245.

Tags

CCSS.HSF.LE.B.5

The student used f(x)=5.00(1.012)^x to show how the balance in a savings account will increase over time. What does the 5.00 represent?

• The interest in the savings account earned in the first year.

• The annual interest rate of the savings account.

• The number of years the savings account has earned interest.

• The starting balance of the savings account.

Tags

CCSS.HSF.LE.B.5

There are 1,024 players in a tennis tournament. After each round half the players are eliminated. Which function can be used to found the number of players remaining in the tournament at the end of x rounds.

• $f\left(x\right)=1024\left(1.50\right)^x$

• $f\left(x\right)=1024\left(0.50\right)^x$

• $f\left(x\right)=1024\left(1.05\right)^x$

• $f\left(x\right)=1024\left(0.05\right)^x$

Tags

CCSS.HSF.LE.A.2

The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left over after w weeks.

• $f\left(w\right)=0.97\left(78,000\right)^w$

• $f\left(w\right)=1.03\left(78,000\right)^w$

• $f\left(w\right)=78,000\left(.97\right)^w$

• $f\left(w\right)=78,000\left(1.03\right)^w$

Tags

CCSS.HSF.LE.A.2