AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PLesson 3.3: Modeling with Systems of Linear EquationsQuestion 75876
75876
AssignmentMultiple Choice

Lesson 3.3: Modeling with Systems of Linear Equations

Question 75876 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?

Answer
A
120d + 110d = 1,500 + 2,500
B
120 + 110 = 1,500d + 2,500d
C
120d + 1,500 = 110d + 2,500
D
120d + 2,500 = 110d + 1,500

Explanation

Write each job’s total pay as its daily pay multiplied by the number of days, plus its annual bonus. The first job pays 120d + 1,500, and the second pays 110d + 2,500. Setting these amounts equal gives 120d + 1,500 = 110d + 2,500, choice C.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Assignment
13 verified answers

Modeling with Systems of Linear Equations

Assignment
11 verified answers

Modeling with Systems of Linear Equations

Assignment
11 verified answers

Graphing Two-Variable Linear Inequalities