Question

The values in the table follow a linear pattern or an exponential pattern. Enter the missing y-value in the table and explain your answer?X -2, 0, 2, 4 Y 8, 5, 2 ?

Answer 1

The value of x is -1

Remember that a linear equation is:

y = mx+b

Using the first 3 values

we can get the linear equation

$y\text{ = -1.5 x + 5}$

Substituting the value x = 4

$\begin{gathered} y\text{ = -1.5 (4) + 5} \\ y\text{ = -6+5} \\ y\text{ = -1} \end{gathered}$

When we try to fit it in an exponential equation

$y=ab^x$

We cannot fit an exponential equation with the first 3 sets of x and y values.