Can someone please help? I have to solve....
An employee produces x units per hour earns an hourly wage of y = 0.50x + 11 (in dollars.) What is the wage?
How many hours does the employee work?
To find the wage of the employee, we need to substitute the value of x into the equation for y.
The equation y = 0.50x + 11 represents the relationship between the number of units produced per hour (x) and the hourly wage earned by the employee (y).
Let's say the employee produces 10 units per hour. To find the wage, we substitute x = 10 into the equation:
y = 0.50(10) + 11
y = 5 + 11
y = 16
Therefore, if the employee produces 10 units per hour, the wage earned by the employee is $16.
Now, to determine the number of hours the employee works, we can rearrange the equation to solve for x:
y = 0.50x + 11
Subtract 11 from both sides:
y - 11 = 0.50x
Divide both sides by 0.50:
(y - 11) / 0.50 = x
This gives us the value of x, which represents the number of units produced per hour by the employee. The value of x will vary depending on the desired wage (y) or the equation given.