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

Question

Mathematics

Aubrey Fletcher

28 April, 16:16

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

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Answers (2)

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Adison Glass · Answer 1

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.

Sweet Tea · Answer 2

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