Exponential functions

Anne invested $1000 into an account with a 1.3% interest rate. If interest was compounded annually , which equation represents the balance after 2 years?

• A = 1000(1 - 0.013)²
• A = 1000(1 + 0.013)²
• A = 1000(1 - 1.3)²
• A = 1000(1 + 1.3)²

Which scenario represents exponential growth?

• A water tank is filled at a rate of 2 gallons per minute
• A vine grows 6 inches every week
• A species of flies doubles its population  every month.
• a car increases its distance from a garage as it travels at a constant speed of 25 miles per hour

Tags

CCSS.HSF-LE.A.1A

For a recently released movie, the function y = 119.67(0.61)^x models the revenue earned for several weeks after its release.  Using the equation how much more money was earned in week 3 than week 5? 

• 37.27
• 27.16
• 17.06
• 10.11

The equation A = 1300(1.02)⁷ is being used to calculate the amount of money in a savings account. What does the 1.02 represent in this equation? 

• 0.02% decay
• 0.02% growth
• 2% decay 
• 2% growth

Tags

CCSS.HSF.LE.B.5

Which function is shown in the table?

• f(x) = 3x 
• f(x) = x + 3 
• f(x) = -x³
• f(x) = 3^x

The function V(t) = 1350(1.017)^t represents the value, V(t), in dollars of a comic book t years after its purchase.  The yearly rate of appreciation of the comic book is?

• 17%
• 1.017%
• 1.7%
• 0.017%

Krystal was given $3,000 when she turned 2 years old. Her parents invested it at a 2% interest rate compounded annually which expression can be used to determine how much money Krystal had in the account when she turned 18?

• 3000(1 + 0.02)¹⁶
• 3000(1 + 0.02)¹⁸
• 3000(1 - 0.02)¹⁶
• 3000(1 - 0.02)¹⁸

The value in dollars v(x), of a certain car after x years in represented by the equation v(x) = 25,000(0.86)^x, To the nearest dollar how much more is the car worth after 2 years than after 3 years?

• 2589
• 6510
• 15,901
• 18,490

The table represents the average yearly balance in a savings account where interest is compounded annually, Which type of function best models the given data?

• linear function with a negative rate of change
• linear function with a positive rate of change
• exponential decay function
• exponential growth function

Which situation could be modeled by a linear function?

• a bank account balance  that grows at a rate of 5% each year
• a population of bacteria that doubles every 4.5 hours
• the cost of a cell phone service that charges a base amount plus 20 cents per minute
• the concentration of medicine in a person's body that decays by a factor of 1/3 every hour