Exponential Review CORE

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

• $y=15\left(35\right)^t$

• $y=15\left(0.35\right)^t$

• $y=15\left(1.35\right)^t$

• $y=35\left(1.15\right)^t$

• $y=15\left(135\right)^t$

Tags

CCSS.HSF.LE.A.2

Classify the exponential function as growth or decay.

 $f\left(x\right)=1200\left(0.85\right)^x$  

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Classify the function as exponential growth or decay.

 $y=4\left(1.12\right)^x$  

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Which function represents the following situation:

Leah's hair was known to grow very rapidly. It began at a length of 6 inches and grew at a rate of 14% each week.

• $N=6\left(0.14\right)^t$

• $N=6\left(1.14\right)^t$

• $N=14\left(1.06\right)^t$

• $N=14\left(0.06\right)^t$

Tags

CCSS.HSF.LE.A.2

Bruno was given $6000 at birth . His parents invested it at a 4% interest rate compounded monthly. How much money will be in the account when Bruno turns 24?

• $15,645.18

• $6498.86

• $57,611.26

• $482,784,110.91

• $15,379.82

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Riley invested $10,000 in savings bonds. If the bonds earn 6.75% interest compounded quarterly, what will be the balance be after 5 years?

Round to the nearest cent. Don't forget the $.

In the formula  $A=P\left(1+\frac{r}{n}\right)^{nt}$  , what does n stand for?

• net income

• number of times compounded per  year 

• time for it to half, double, triple . . .

• initial amount

• natural log

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

What is the percentage rate of growth or decay?

$f\left(x\right)=1200\left(0.85\right)^x$

• 85%

• 15%

• .15%
  

• .85%

• 12%

Tags

CCSS.HSF-IF.C.8B

What is the percentage rate of  growth or decay?

$y=4\left(1.12\right)^x$

• 12%

• 88%

• .12%

• 112%

• .88%

Tags

CCSS.HSF-IF.C.8B

In the formula  $N=N_0\left(\frac{1}{2}\right)^{\frac{t}{k}}$  , what does k stand for?

• kilometer

• number of times compounded per  year 

• time for it to half

• initial amount

• kindness

Tags

CCSS.HSF.LE.B.5