A machine can make 36 parts in 3 hours. It can also make 48 parts in 4 hours . Which rates could you use to write an equation of the form y=mx that represents the number of parts y the machine can make in ? What is that equation?
To write an equation of the form y=mx, we need to determine the rate at which the machine produces parts.
In the first scenario, the machine can make 36 parts in 3 hours. This means the rate of production is 36 parts / 3 hours = 12 parts per hour. So, we can use the rate 12.
In the second scenario, the machine can make 48 parts in 4 hours. This means the rate of production is 48 parts / 4 hours = 12 parts per hour. So, we can also use the rate 12.
Thus, the equation of the form y=mx that represents the number of parts y the machine can make in x hours is y = 12x.