after graduation, rob got job offers from two different companies. printer palace offered him $3,500 per…

after graduation, rob got job offers from two different companies. printer palace offered him $3,500 per month, plus a $7,000 signing bonus. east company paper offered him $4,500 per month, with no signing bonus. how many months would rob need to work for his total earnings to be the same at either company?

after graduation, rob got job offers from two different companies. printer palace offered him $3,500 per month, plus a $7,000 signing bonus. east company paper offered him $4,500 per month, with no signing bonus. how many months would rob need to work for his total earnings to be the same at either company?

Answer

Explanation:

Step1: Set up earnings equations

Let $m$ be the number of months. Earnings from Printer Palace: $E_1 = 3500m+7000$. Earnings from East Company Paper: $E_2=4500m$.

Step2: Set earnings equal

Set $E_1 = E_2$, so $3500m + 7000=4500m$.

Step3: Solve for $m$

Subtract $3500m$ from both sides: $7000 = 4500m-3500m$, which simplifies to $7000 = 1000m$. Then divide both sides by 1000: $m=\frac{7000}{1000}=7$.

Answer:

7