Question

Please help!!Look at this table:Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data.y=

Answer 1

the Explanation

The model in the table represents an exponential model with the general equation below.

`y=ab^x`

We can then get the actual model by substituting two given values from the table.

When x= 0 and y = -5

`\begin{gathered} -5=ab^0 \\ a=-5----1 \end{gathered}`

When 1 = 0 and y= -15

`\begin{gathered} -15=ab^1 \\ \therefore ab=-15----2 \end{gathered}`

We can then substitute a = -5 in equation 2.

`\begin{gathered} -5b=-15 \\ b=(-15)/(-5) \\ b=3 \end{gathered}`

Therefore

The model can be written as;

`y=-5(3)^x`