Question

can i afford this? hours of work
name: kedawit date: score: ______/14
activity: ticket to a concert cost: $150.00
hourly wage: $10.75

hours	gross pay	net pay gross pay x .85
8 hours	$
12 hours	$
16 hours	$
20 hours	$

how many hours would you need to work to afford this thing? ______ hours
what other costs would you need to pay for to enjoy or use this thing? _________________________

will a 4-hour shift be enough hours to cover the cost? ______ yes no
if your next paycheck was for 20 hours of work, would that cover the cost? ______ yes no
in your opinion, is the cost worth all the hours you would need to work to afford it? ______ yes no

Explanation:

Calculate gross and net pay

To find the gross pay, multiply the hours worked by the hourly wage of \(\$10.75\).
To find the net pay, multiply the gross pay by \(0.85\).

• 4 hours:
• Gross Pay: \(4 \times 10.75 = \$43.00\)
• Net Pay: \(43.00 \times 0.85 = \$36.55\)
• 8 hours:
• Gross Pay: \(8 \times 10.75 = \$86.00\)
• Net Pay: \(86.00 \times 0.85 = \$73.10\)
• 12 hours:
• Gross Pay: \(12 \times 10.75 = \$129.00\)
• Net Pay: \(129.00 \times 0.85 = \$109.65\)
• 16 hours:
• Gross Pay: \(16 \times 10.75 = \$172.00\)
• Net Pay: \(172.00 \times 0.85 = \$146.20\)
• 20 hours:
• Gross Pay: \(20 \times 10.75 = \$215.00\)
• Net Pay: \(215.00 \times 0.85 = \$182.75\)

Determine hours needed for cost

The concert ticket costs \(\$150.00\). We use net pay to determine affordability.
Let \(h\) be the hours needed:

$$ h \times 10.75 \times 0.85 \ge 150.00 $$

$$ h \times 9.1375 \ge 150.00 \implies h \ge 16.42\text{ hours} $$

Rounding up to the nearest whole hour, you need to work \(17\) hours.

Identify other potential costs

To attend a concert, other costs might include transportation, parking, food, drinks, or merchandise.

Evaluate shift scenarios

• 4-hour shift: Net pay is \(\$36.55\), which is less than \(\$150.00\). (No)
• 20-hour paycheck: Net pay is \(\$182.75\), which is greater than \(\$150.00\). (Yes)
• Opinion question: This is subjective based on personal value.

Answer:

Pay Table

Hours	Gross Pay	Net Pay (Gross x .85)
8 hours	\$86.00	\$73.10
12 hours	\$129.00	\$109.65
16 hours	\$172.00	\$146.20
20 hours	\$215.00	\$182.75

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Questions

• How many hours would you need to work to afford this thing?

17 hours (or 16.42 hours)

• What other costs would you need to pay for to enjoy or use this thing?

Transportation, parking, food, drinks, or merchandise.

• Will a 4-hour shift be enough hours to cover the cost?

NO

• If your next paycheck was for 20 hours of work, would that cover the cost?

YES

• In your opinion, is the cost worth all the hours you would need to work to afford it?

YES / NO (This is a personal opinion question)