Since the amount of a person's paycheck varies directly with the number of hours worked, we can use the formula for direct variation, which is y = kx, where y is the paycheck, x is the number of hours worked, and k is the constant of variation.
Given that for 25 hours of work, the paycheck is $312.50, we can substitute these values into the formula to find the constant of variation, k.
312.50 = k * 25
Now, solve for k:
k = 312.50 / 25
k = 12.50
Now that we have found the constant of variation, we can write the equation for the relationship between the hours of work and pay as:
p = 12.50t
Therefore, the equation for the relationship between hours of work and pay is p = 12.50t.
The amount of a person’s paycheck, p, varies directly with the number of hours worked, t. For 25 hours of work, the paycheck is $312.50. Write an equation for the relationship between hours of work and pay. Explain how you got your equation.
(4 points)
1 answer