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} (y_2-y_1)/(x_2-x_1)=(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} (20-16)/(16-12)=(y-16)/(x-12) \\ (4)/(4)=\text{ }(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