Exponential Functions Like Base

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the percentage increase of the population annually?

• 720,500%

• 102.2%

• 2.2%

• 22%

Ants triple in population every three hours. If the initial population is two hundred ninety two, what is the population of ants after two days?

• 1,256,964,253,000

• 1,256,964,252,000

• 1,254,130,450,000

• 2,302,405,000,000

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³

• y= 7650(.86)³

• y= 7650(1+.86/1)^3*1

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve for x.

16^2x = 256^2x+5

• 5

• -5

• 2

• 16

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

To solve an exponential equation, the _______ must be the same!

Solve 3³ = (3²)^{2x + 1}

• x = ¼

• x = -¼

• x = ½

• x = -½

Which function is exponential?

• f(x)

• h(x)

• g(x)

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None