Creating Exponential Equations from Word Problems

Write the equation for the table?

• y = 2(20)^x

• y = -2(20)^x

• y = 20(2)^x

• y = 20(.5)^x

Write the exponential equation that represents the given table.

Write the equation for the following graph.

• y = 25(2)^x

• y = 2(25)^x

• y = 25(1/2)^x

• y = 2(1/25)^x

For which equation/graph is (5,1215) a solution?

• Species X

• Species Y

Write an exponential equation for the given scenario. Kendal bought a truck for $8,500. The value of the truck decreases at a rate of 11% per year.

Mathematical Equivalence

ON

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

y = ​ (a)   ( 1 ​ (b)   ​ (c)   )^x (^ means to power of x - x is the exponent)

• 400

• +

• 0.03

• 3

• 0.3

• 0.97

• 4

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

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A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x