Question 75874 • (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?120d + 110d = 1,500 + 2,500120 + 110 = 1,500d + 2,500d120d + 1,500 = 110d + 2,500120d + 2,500 = 110d + 1,500
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
The first job pays $1,500 plus $120 for each day, so its total is 120d + 1,500. The second pays $2,500 plus $110 for each day, so its total is 110d + 2,500. Set the totals equal to find when the jobs pay the same amount: 120d + 1,500 = 110d + 2,500. This is choice C.
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