NTIw5 Solving Real World Exponential Equations HW

The equation of an exponential function is given as follows:  $f\left(x\right)=100\left(1.2\right)^x$  . What is the initial value of the function?

• 1.2

• 10

• 0.8

• 100

Tags

CCSS.HSF.LE.B.5

The equation of an exponential function is given as follows:  $f\left(x\right)=100\left(1.2\right)^x$  . Does this equation represent exponential growth or decay and what is the exponential growth or decay rate?

• Growth, 120%

• Growth, 20%

• Decay, 20%

• Decay, 12%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The equation of an exponential function is given as follows:  $f\left(x\right)=8\left(0.75\right)^x$  . Does this equation represent exponential growth or decay and what is the exponential growth or decay rate?

• Growth, 75%

• Growth, 25%

• Decay, 75%

• Decay, 25%

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Ms. Peralta bought a new car, which cost her $27,000. Which equation represents the value of the car after 5 years, if the car depreciates at a rate of 20% per year?

•  $A\left(5\right)=27000\left(1+0.20\right)^5$  

•  $A\left(5\right)=27000\left(1-0.20\right)^5$  

•  $A\left(5\right)=27000\left(1-5\right)^{0.20}$  

•  $A\left(5\right)=27000\left(1-0.80\right)^5$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Ms. Colunga bought a new car, which cost him $30,000. Which equation represents how long it will take for the value of the car to be $15,000, if the car depreciates at a rate of 18% per year?

•  $30000=15000\left(1-0.18\right)^t$  

•  $15000=30000\left(1-0.18\right)^t$  

•  $15000=30000\left(1-0.018\right)^t$  

•  $30000=15000\left(1-0.018\right)^t$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990? 

• 0 people
• It doesn't say
• I don't know
• 6191

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%
• It doesn't say
• I don't know
• 400%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. 
What is the multiplier for this problem?

• 1.29
• .71
• .29
• 1.71

Tags

CCSS.HSF-LE.A.1C

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 51 mg
• 284 mg
• 1843 mg
• 116 mg

Tags

CCSS.HSF.LE.A.4

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

• between 1 and two years
• more than 5 years
• less than a year
• between 3 and 4 years

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5