Question

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.

Answer 1

y = 0.2x + 250

Explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m =
`(y_2-y_1)/(x_2-x_1)`

or

m =
`\frac{810-950}{\textup{2,800-3,500}}`

or

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

or

$950 = $700 + c

or

c = $250

hence,

The equation comes out as:

y = 0.2x + 250