Question

2. Create an equation that represents the table from Question #1 (FLE.2)

Answer 1

ANSWER:

$\begin{gathered} \text{ Computer} \\ y=-185x+960 \\ \text{ Printer} \\ y=-60x+300 \end{gathered}$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

We calculate the slope as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

We calculate the slope for the computer value and for the printer value:

In the computer value, we have the points (0, 960) and (3, 405), replacing:

$\begin{gathered} m=\frac{405-960}{3-0} \\ m=-185 \end{gathered}$

In the printer value, we have the points (0, 300) and (3, 120), replacing:

$\begin{gathered} m=\frac{120-300}{3-0} \\ m=-60 \end{gathered}$

The intercept with b is the point when x is equal to 0, therefore, the two equations would be:

The equation for the value of computer:

$y=-185x+960$

The equation for the value of printer:

$y=-60x+300$