Question

Eric has $43.75 in his piggy bank and wants to save at least $100. He must complete his weekly chores to earn a $5.25 allowance from his parents. Eric writes the equation 5.25 + 43.75 >= 100. What

Answer 1

The correct approach for Eric to calculate the number of weeks needed to save at least $100 is by the linear inequality 43.75 + 5.25x >= 100. As for the student's question, Jason's maximum income, after working 1,000 hours with $10,000 government assistance, would be $14,500.

Step-by-step explanation:

The question asked by the student involves Eric wanting to save at least $100 while he has $43.75 in his piggy bank and earns a $5.25 allowance each week for completing chores. However, the equation Eric writes is erroneous. Instead of just adding his current savings with one week of allowance, the correct approach would involve calculating the number of weeks he needs to work to reach or exceed $100 in savings. This can be established by the linear inequality 43.75 + 5.25x >= 100, where x represents the number of weeks.

To answer the student's question, we should address Jason's scenario. If Jason works 1,000 hours, factoring in the $10,000 in government assistance he receives, and his earned income at a rate of $4.50 per hour, his total maximum income will be:

$10,000 (government assistance) + ($4.50 × 1,000 hours) = $14,500.