Exponential Model Word Problems

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation that models this situation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?

• 6% growth

• 6% decay

• 1.06% growth

• .06% decay

Tags

CCSS.HSF-IF.C.8B

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

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF-IF.C.7E

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

• Growth, because the scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Tags

CCSS.HSF-IF.C.8B

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

Tags

CCSS.HSF-LE.A.1C

Mrs. W is raising bunnies for Easter. She currently has 5 bunnies and expects the number of bunnies to increase 55% each year. What equation below represents this scenario?

• f(x) = 5(155)^t

• f(x) = 5(1.55)^t

• f(x) = 5(0.155)^t

• f(x) = 5(15.5)^t

Tags

CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $344,022

• $15,000

• $31,500

• $28,500

Tags

CCSS.HSF.BF.A.2

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = .5x - 2

• y = 2x + .5

• y = 0.5(2)^x

Tags

CCSS.HSF-LE.A.1A

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Is this a linear situation or an exponential situation?

• Linear

• Exponential