Question

Write an equation for a function that gives thr value in the table. Use the equation to find the value of y when x= 12.

Answer 1

the First, we figure out the equation of the line.

`(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

We pick point (8,27) as point 1 and (10,35) as point 2.

Therefore equation of line =

`\begin{gathered} \frac{y-27_{}}{x-8_{}}=\frac{35-27_{}}{10-8_{}} \\ \frac{y-27_{}}{x-8_{}}=(8)/(2) \end{gathered}`

Cross multiplying, we have

8x -64 = 2y - 54

Adding 54 to both sides, we have:

8x - 10 = 2y

Dividing both sides by 2, we have:

y = 4x -5

Next, we substitute the value of x with 12 to get:

y = 4(12) - 5

y = 48 - 5

y = 43