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.

Answer 1

Since the paycheck varies directly with the number of hours worked, we can write the equation in the form of:

p = kt

where k is the constant of proportionality.

Given that the paycheck is $312.50 for 25 hours of work, we can substitute these values into the equation to solve for k:

312.50 = k * 25

Dividing both sides by 25, we get:

k = 312.50 / 25
k = 12.50

Therefore, the equation for the relationship between hours of work and pay is:

p = 12.50t