Exponential Formulas

What is the name of this formula?

f(x) = ab^x

• Linear Equation

• Quadratic Equation

• Virtual Equation

• Exponential Equation

Which one of these formula is used to show exponential growth?

• f(x) = a(b+1)^x

• f(x) = a(b-1)^x

• f(x)=a(1+r)^x

• f(x)=a(1-r)^x

Choose the correct definitions for each component of the formula

f(x) = ab^x

• a=initial value

  b=time

  x=rate

• a=initial rate

  b=value

  x=time

• a=initial value

  b=rate

  x=time

• a=initial time

  b=rate

  x=value

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

• 800

• 0.95

• 2000

• decay

• growth

• 5%

• 95%

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C