The equation to find David’s hourly wage is:
David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage
Step-by-step explanation:
The given is:
Amelia’s hourly wage is $3.50 less than double David’s hourly wage
We need to find an equation to find David’s hourly wage
Assume that:
∵ Amelia’s hourly wage is $3.50 less than double David’s
hourly wage
- That means multiply David’s hourly wage by 2, then
subtract 3.50 from the product to get Amelia’s hourly wage
∴ x = 2y - 3.50
Now let us find y in terms of x
∵ x = 2y - 3.50
- Add 3.5 to both sides
∴ x + 3.50 = 2y
- Divide each term by 2
∴ [tex]\frac{1}{2}[/tex] x + 1.75 = y
- Switch the two sides
∴ y = [tex]\frac{1}{2}[/tex] x + 1.75
∵ y represents David’s hourly wage
∴ David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents
Amelia’s hourly wage
The equation to find David’s hourly wage is:
David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage
Learn more:
You can learn more about the linear equations in brainly.com/question/4152194
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