Question

An executive in an engineering firm earns a monthly salary plus a Christmas bonus of $560. If she earns a total of $113,360 per year, what is her monthly salary?
a) $8,360
b) $9,360
c) $9,445
d) $9,613.33

Answer 1

Answer:

$9,400

Step-by-step explanation:

We can model the salary with a linear equation:

$y=mx+b$

where:

• the variable y represents total salary
• the y-intercept (b) is the Christmas bonus (guaranteed)
• the time variable x is the number of months
• the variable m is the monthly salary

We are given the following information:

• $b=560$
• $x=12$   (there are 12 months in a year)
• $y=113,360$

Now, we can solve for m:

↓ plugging in the known variables

$113,360=m(12)+560$

↓ subtracting 560 from both sides

$112,700 = 12m$

↓ dividing both sides by 12

$\boxed{m=9,400}$

So, the executive earns $9,400 a month.

Answer 2

Final answer:

The executive's monthly salary is calculated by subtracting the $560 Christmas bonus from the annual earnings of $113,360, giving $112,800 and then dividing by 12 months, which equals $9,400 per month.

Explanation:

To calculate the executive's monthly salary, we need to consider her total annual earnings and subtract the one-time Christmas bonus. Since her annual earnings total $113,360 and she receives a $560 bonus, we can deduct the bonus to find her total salary earnings for the year and then divide that by 12 to find her monthly salary.

Follow these steps:

1. Subtract the Christmas bonus from the total annual earnings: $113,360 - $560 = $112,800.
2. Divide the annual salary earnings by 12 to find the monthly salary: $112,800 ÷ 12 = $9,400.

Therefore, her monthly salary is $9,400.