Question

54.)What function rule models the values in the table?Х481216Y4.8121620a.) Y = -x + 4b.)Y = x + 4c.) Y = 4x + 4

Answer 1

Step 1

Use the point form equation to get the momo. This equation is given as

$\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1} \\ \text{Where} \\ y_2=20 \\ y_1=16 \\ x_2=16 \\ x_1=12 \end{gathered}$

Step 2

Substitute in and find the equation.

$\begin{gathered} \frac{20-16}{16-12}=\frac{y-16}{x-12} \\ \frac{4}{4}=\text{ }\frac{y-16}{x-12} \\ x-12=\text{ y-16} \\ y\text{ = x-12 +16} \\ y\text{ = x+4} \end{gathered}$

Hence the required function that models the values of the table is y = x+4