Question

When a truck full of boxes arrives at the Oak Grove Post Office, Kathleen unloads the truck by placing the boxes on a conveyor belt. Kathleen's coworkers are impressed with how fast Kathleen does her job. There is a proportional relationship between the time (in minutes) Kathleen spends unloading the truck, x, and the number of boxes she unloads from the truck, y.

In 1 minute, Kathleen unloads 6 boxes from the truck. Write the equation for the relationship between x and y.

Answer 1

The equation for the relationship between the time Kathleen spends unloading the truck and the number of boxes she unloads is y = 6x.

Step-by-step explanation:

In a proportional relationship, there is a constant ratio between the two variables. In this case, the time (in minutes) Kathleen spends unloading the truck, x, and the number of boxes she unloads from the truck, y, have a proportional relationship.

We are told that in 1 minute, Kathleen unloads 6 boxes from the truck. This means that for every 1 minute, the number of boxes unloads increases by 6.

Therefore, the equation for the relationship between x and y is y = 6x. For every x minutes, Kathleen unloads 6x boxes.