Xavier works 20 hours each week at his part-time job. His manager has promised him a 15% pay raise starting next month. Once he receives his raise, Xavier will make $253 a week.Which equation can you use to find Xavier's current hourly pay rate, x?20.15x=25320(0.85x)=25320x=25320(1+0.15x)=25320(1.15x)=25320(x+0.15)=253xWhat is Xavier's current hourly pay rate?
Question
Xavier works 20 hours each week at his part-time job. His manager has promised him a 15% pay raise starting next month. Once he receives his raise, Xavier will make $253 a week.Which equation can you use to find Xavier's current hourly pay rate, x?20.15x=25320(0.85x)=25320x=25320(1+0.15x)=25320(1.15x)=25320(x+0.15)=253xWhat is Xavier's current hourly pay rate?
Solution
The correct equation to use in this case is 20(1.15x) = 253. This equation represents Xavier's new weekly pay (253 dollars) as a result of a 15% increase in his current hourly pay rate (x).
To find Xavier's current hourly pay rate, we need to solve for x in the equation. Here are the steps:
- Divide both sides of the equation by 20: 1.15x = 253/20
- Simplify the right side of the equation: 1.15x = 12.65
- Divide both sides of the equation by 1.15: x = 12.65/1.15
- Simplify the right side of the equation to find the value of x: x = 11
So, Xavier's current hourly pay rate is $11 per hour.
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