Question

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?

120d + 110d = 1,500 + 2,500
120 + 110 = 1,500d + 2,500d
120d + 1,500 = 110d + 2,500
120d + 2,500 = 110d + 1,500

Answer 1

C. 120d + 1,500 = 110d + 2,500

Answer 2

C

Explanation:

Job A:

• Bonus of $1500
• $120 per day for
  `d` days is 120 multiplied by
  `d`. Which is
  `120d`
• Total Payment =
  `1500+120d`

Job B:

• Bonus of $2500
• $110 per day for
  `d` days is 110 multiplied by
  `d`. Which is
  `110d`
• Total Payment =
  `2500+110d`

Solving these 2 equations for
`d` would tell us after how many days both job would pay the same. Answer choice C is correct.