Q:

You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950. Another week you sold $2,800 in sporting goods, earning $810. Write an equation of the line that represents the situation in standard form.

Accepted Solution

A:
Answer:y = 0.2x + 250Step-by-step explanation:let the sales be x and y be earningsthus, givenx₁ = $3,500 ; y₁ = $950and,x₂ = $2,800 ; y₂ = $810Now, the standard line equation is given as:y = mx + chere, m is the slope c is the constantalso,m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]orm = [tex]\frac{810-950}{\textup{2,800-3,500}}[/tex]orm = 0.2substituting the value of 'm' in the equation, we gety = 0.2x + cnow, substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get$950 = 0.2 × $3,500 + cor$950 = $700 + corc = $250hence, The equation comes out as:y = 0.2x + 250