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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 15.75andalsoreceivesabonusattheendofeachyear.Thisyear,heworkedatotalof1525hoursandearned15.75 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?

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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.

This problem has been solved

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)

This problem has been solved

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