Question

Tell if the ordered pairs satisfy an exponential function. See table for values given

Answer 1

Step-by-step explanation

The formula for an exponential equation is given as;

`y=ab^x`

when x= 0 and y=-50

`\begin{gathered} -50=ab^0 \\ a=-50 \end{gathered}`

When x =1 and y =-250

`\begin{gathered} -250=ab^1 \\ ab=-250 \end{gathered}`

Recall a =-50, therefore;

`\begin{gathered} -50b=-250 \\ b=-(250)/(-50) \\ b=5 \end{gathered}`

The formula can then be rewritten as;

`y=-50(5)^x`

Since the parameters of the table can be used to create an exponential equation, therefore the ordered pairs satisfy an exponential function.

Answer: yes