Word problems Logs and Exponents

 $f\left(x\right)=3\left(1-0.08\right)^x$  Determine if the function is showing exponential growth or decay and name the percent of growth or decay.

• Growth:  8%

• Decay:  8%

• Growth:  92%

• Decay:  108%

• Decay:  92%

Tags

CCSS.HSF-IF.C.8B

$22,300 is invested at an annual interest rate of 3.6%. Find the balance after 20 years if it is compounded quarterly.

• $45666.55

• $45237.64

• $26676.46

• $46076.11

• None of the above

Tags

CCSS.HSF-LE.A.1C

$3000 is invested at an annual interest rate of 1.5%. Find the balance after 5 years if it is compounded continuously.

• $3231.85

• $3233.65

• $3233.20

• $3045.34

• None of the above

Condense the following logarithm: 3 log₂ x + 2 log₂ y – 4 log₂ z 

• log₂ x³y²∕z⁴
• log₂ x³y²z⁴
• log₂ xyz⁹
• 9log₂ xyz

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population.

Which function can be used to determine the number of deer, y, in this population at the end of t years?

• $y=1500(1-0.015)^t$

• $y=1500(0.015)^t$

• $y=1500(1+0.015)^t$

• $y=1500(1.5)^t$

Tags

CCSS.HSF.LE.A.2

Expand the following:  $\log\left(j^4k^7\right)$  

•  $\log\left(4j\right)+\log\left(7k\right)$  

•  $11\log\left(j+k\right)$  

•  $28\log\left(jk\right)$  

•  $4\log\left(j\right)+7\log\left(k\right)$  

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^x

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2