The equation p = 12.5t represents the relationship between the number of hours worked (t) and the amount of pay received (p). This equation shows that the pay (p) is directly proportional to the number of hours worked (t) with a constant rate of 12.5.
In this case, when t = 25, the paycheck is $312.50. This means that for every hour worked, the person earns $12.50 (312.50/25 = 12.50), which is the constant rate of the direct variation.
So, the equation p = 12.5t accurately represents the relationship between the number of hours worked and the amount of pay received.
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.
y = kx (p = kt)
k = p /t = 312.50 / 25 = 12.5
p = 12.5t
1 answer
1 answer