Question

A student got a $5000 grant per quarter and the opportunity to work on campus at a rate of $12 per hour, but no more than 15 hours per week. The quarter last 10 weeks. The student aid office charges 5% of handling fees and the state has an 8% income tax. If E is 'earnings at the end of the quarter,' H is 'hours of work per week,' the model that calculates the income of the student at the end of the quarter is :____________

Answer 1

Hi, you've asked an incomplete question. The options read;

a) E= 5000 (1-0.05) + 10 * 12 * H * (1 - 0.08).

b) E= 5000 (1-0.05) + 10 * 12 * H * (1 - 0.08) H≤15 (this reads: H less or equal to 15.

c) E= 5000 * (1 - 0.95) + 12 * H * (1 - 0.08) H≤15 [this reads: H less or equal to 15].

d) E= 5000 (1-0.05) + 12 * H * (1-0.08).

Answer:

b) E= 5000 (1-0.05) + 10 * 12 * H * (1 - 0.08) H≤15 (this reads: H less or equal to 15.

Explanation:

Using this model we note the following,

• H is represented by  15 (hours)
• 5% handling fee represented by 0.05
• 8% income tax is represented by 0.08
• rate is represented by 12 ($)

Substituting this data into the model we have:

⇒ 5000 (1-0.05) + 10 * 12 * 15 * (1 - 0.08)

⇒ 4750 + 1800 (1-0.08)

⇒ 4750+1656 = $6406.