An employee has two options for positions in a large corporation. One position pays $14.25 per hour plus an additional unit rate of $0.55 per unit produced. The other pays $10.75 per hour plus a unit rate of $1.25. (a) Find linear equations for the hourly wages W In terms of x, the number of units produced per hour, for each option. option 1 W₁ = 14.25 +0.55x option 2 W₂ = 10.75 +1.25x (b) Use a graphing utility to graph the linear equations and find the point (x, y) = (2.692,15.731 1x) Intersection. (c) Interpret the meaning of the point of Intersection of the graphs in part (b). When 2.692 x units ✔✔are produced, the wage ✔✔✔ for both options is $ How would you use this information to select the correct option of the goal were to obtain the highest hourly wage? Choose option 1 ✔✔✔ If you think you will produce less than per hour. units per hour and choose option 2 ✔✔✔ If you think you will produce more than units.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
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An employee has two options for positions in a large corporation. One position pays $14.25 per hour plus an additional unit rate of $0.55 per unit produced. The other pays $10.75 per hour plus a unit rate of $1.25.
(a) Find linear equations for the hourly wages W In terms of x, the number of units produced per hour, for each option.
option 1 W₁ =
14.25 +0.55x
option 2 W₂ =
10.75 +1.25x
✓
(b) Use a graphing utility to graph the linear equations and find the point
(x, y) = (2.692,15.731
x )
Submit Answer
Intersection.
(c) Interpret the meaning of the point
Intersection of the graphs In part (b).
When 2.692
x
units ✔✔are produced, the wage
for both options is $
How would you use this information to select the correct option if the goal were to obtain the highest hourly wage?
Choose option 1 ✔✔✔ If you think you will produce less than
per hour.
units per hour and choose option 2✔✔✔ If you think you will produce more than
units.
Transcribed Image Text:An employee has two options for positions in a large corporation. One position pays $14.25 per hour plus an additional unit rate of $0.55 per unit produced. The other pays $10.75 per hour plus a unit rate of $1.25. (a) Find linear equations for the hourly wages W In terms of x, the number of units produced per hour, for each option. option 1 W₁ = 14.25 +0.55x option 2 W₂ = 10.75 +1.25x ✓ (b) Use a graphing utility to graph the linear equations and find the point (x, y) = (2.692,15.731 x ) Submit Answer Intersection. (c) Interpret the meaning of the point Intersection of the graphs In part (b). When 2.692 x units ✔✔are produced, the wage for both options is $ How would you use this information to select the correct option if the goal were to obtain the highest hourly wage? Choose option 1 ✔✔✔ If you think you will produce less than per hour. units per hour and choose option 2✔✔✔ If you think you will produce more than units.
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