Modeling With Exponential Functions

Your dad buys a rare quitar in 2015 for $10,000. Experts estimate that its value will increase 12% per year. Use the given graph to predict approximately how many years it will take for the initial value to double.

• 4 years

• 5 years

• 6 years

• 7 years

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Mr. Savage has $8,000,000 in his bank account, which accrues 1.932% interest every 3 months. How much money will be in his bank account after 9 years?

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia. Which function best models this data?

Use the table to write an exponential function of the form: f\left(x\right)=a\cdot b^x

• A

• B

• C

• D

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