Writing and interpreting exponential functions

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

• $f\left(x\right)=15\left(\frac{5}{6}\right)^x$

• $f\left(x\right)=18\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=15\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=18\left(\frac{5}{6}\right)^x$

Which exponential function best models the following data?

• y = 0.4(200)^x

• y = 0.4(500)^x

• y = 200(0.4)^x

• y = 500(0.4)^x

Write an equation for the function shown above.

• y = 1/9 · (1/3)^x

• y = 3 · (1/9)^x

• y = 1/27 · 81^x

• y = 1/9 · 3^x

Complete the table for the function $y=-2\cdot\left(\frac{1}{4}\right)^x+6$ . 

What is the exponential regression equation?

• y =988.873(1.04826)^x

• y =999.973(1.04926)^x

• y =999.973(0.04926)^x

• y =898.973(0.04926)^x

Which equation is represented by the table?

Write the exponential equation that represents the given table.

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=8.92•1.23^x
• y=1.23•8.92^x
• y=8.92+1.23x
• y=8.92x+1.23

Write an equation for the table

•  $y=2\left(\frac{1}{2}\right)^x$ 

•  $y=4\left(2\right)^x$ 

•  $y=8\left(\frac{1}{2}\right)^x$  

•  $y=\frac{1}{2}\left(2\right)^x$  

What is the equation that models the data in the table?