Question

This graph shows the lincar relationship between commission camned (c) by a salesperson and number of sales he makes (s). Commission Earned 40 32 24 Commission Earned ($) oo 8 1 2 3 4 5 Number of Sales Find the constant of proportionality ( ). Using the value for r, enter an equation in the form of cars that represents the relationship between the commission eamed (c) and the number of sales

Answer 1

Notice that, in more complicated words but the problem is asking for the equation of the given line.

Recall that to determine the equation of a line, we only need to points on the line and we can use the following formula:

`y_{}-y_1=(y_1-y_2)/(x_1-x_2)(x-x_1),`

where (x₁,y₁) and (x₂,y₂) are points on the line.

Now, notice that the given line passes through (0,0) and (1,8). Substituting these points in the above formula, we get:

`y-0=(8-0)/(1-0)(x-0)\text{.}`

Simplifying the above result we get:

`y=8x\text{.}`

Finally, exchanging y with c, and x with s, we get:

`c=8s\text{.}`

Answer:

`r=8.`

Equation:

`c=8s\text{.}`