Question

Paul is a salesperson who earns both a salary and a commission on units sold. In one week, he sold 25 units and earned $1,200. In another week, he sold 20 units and earned $1,075. Which of the following slope-intercept form equations models Paul’s weekly pay in terms of units sold?. A. y=25x+575. B. y = 25x + 1,200. C. y=-1/25x-68. D. y=1/25x-23

Answer 1

The values for x are the number of units 25 and 20 and the values of y are the salaries.

Having two equations with two unknowns will result to:
y=mx+b
1200=m*25+b
1075=m*20+b

Solving for m and b:
m=25
b=575

The answer is A. y=25x+575

Answer 2

We are given with two conditions: for 25 units sold, $1200 and for 20 units sold, the earnings is equivalent to $1075. To determine the slope-intercept form equation that models the conditions, we simply substitute the conditions to the equations given in the choices. Among the options, option A is the suitable equation for the two conditions.