Question

You have been awarded a work-study grant for $2,500. Which of the following schedules is most appropriate? You can work for up to 36 weeks.(1 point)
Responses

$30 an hour, 4 hours a week, 20 weeks
$30 an hour, 4 hours a week, 20 weeks

$15 an hour, 10 hours a week, 33 weeks
$15 an hour, 10 hours a week, 33 weeks

$12.50 an hour, 6 hours a week, 33 weeks
$12.50 an hour, 6 hours a week, 33 weeks

$15 an hour, 2 hours a week, 33 weeks

Answer 1

To determine which schedule will provide you with a total of $2,500 or more, we need to calculate the earnings for each option.

1. **$30 an hour, 4 hours a week, 20 weeks:**
\[
Total = 30 \, \text{(dollars/hour)} \times 4 \, \text{(hours/week)} \times 20 \, \text{(weeks)} = 30 \times 4 \times 20 = 2400
\]

2. **$15 an hour, 10 hours a week, 33 weeks:**
\[
Total = 15 \, \text{(dollars/hour)} \times 10 \, \text{(hours/week)} \times 33 \, \text{(weeks)} = 15 \times 10 \times 33 = 4950
\]

3. **$12.50 an hour, 6 hours a week, 33 weeks:**
\[
Total = 12.50 \, \text{(dollars/hour)} \times 6 \, \text{(hours/week)} \times 33 \, \text{(weeks)} = 12.50 \times 6 \times 33 = 2475
\]

4. **$15 an hour, 2 hours a week, 33 weeks:**
\[
Total = 15 \, \text{(dollars/hour)} \times 2 \, \text{(hours/week)} \times 33 \, \text{(weeks)} = 15 \times 2 \times 33 = 990
\]

Now, let's summarize the total earnings for each option:

- **Option 1:** $2,400
- **Option 2:** $4,950
- **Option 3:** $2,475
- **Option 4:** $990

The schedules that meet or exceed the $2,500 goal are:

- **Option 2:** $4,950 (this option exceeds the goal significantly).
- **Option 3:** $2,475 (this option falls short of the goal).

Therefore, the most appropriate schedule that meets the $2,500 goal is:

**$15 an hour, 10 hours a week, 33 weeks** (Option 2).