Blake earns an hourly wage of $15.75 and also receives a bonus at the end of each year. This year, he worked a total of 1525 hours and earned $25,218.75. If x represents the number of hours Blake works in a given year, which equation can be used to determine his annual income?
Question
Blake earns an hourly wage of 25,218.75. If x represents the number of hours Blake works in a given year, which equation can be used to determine his annual income?
Solution 1
The equation that can be used to determine Blake's annual income is:
15.75x + B = Y
Where:
- 15.75 is Blake's hourly wage
- x is the number of hours Blake works in a year
- B is Blake's annual bonus
- Y is Blake's annual income
Given that Blake worked a total of 1525 hours this year and earned $25,218.75, we can substitute these values into the equation to find out his annual bonus:
15.75 * 1525 + B = 25,218.75
Solving this equation will give us the value of B, Blake's annual bonus.
Solution 2
The equation that can be used to determine Blake's annual income is:
15.75x + B = Y
Where:
- 15.75 is Blake's hourly wage
- x is the number of hours Blake works in a given year
- B is Blake's annual bonus
- Y is Blake's annual income
Given that Blake worked a total of 1525 hours this year and earned $25,218.75, we can substitute these values into the equation to find out his annual bonus:
15.75 * 1525 + B = 25,218.75
Solving for B (Blake's annual bonus), we get:
B = 25,218.75 - (15.75 * 1525)
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