The diagram shows the relationship between the number of cans of chemical A and the number of cans of chemical B needed to form a chemical mixture.

In the equations shown, y represents the number of cans of chemical B, and x represents the number of cans of chemical A. Which equation represents the proportional relationship in this diagram?

1 answer

To determine the equation that represents the proportional relationship between the number of cans of chemical A (denoted as x) and the number of cans of chemical B (denoted as y), we need to establish a relationship of the form:

y=kx

where k is the constant of proportionality.

If you have specific data points from the diagram, you can use them to calculate the value of k. For instance, if for a certain number of cans of chemical A (let's say x1), there corresponds a certain number of cans of chemical B (y1), then you can calculate k as:

k=y1x1

Once you have k, substitute it back into the equation y=kx to get the specific equation representing the relationship.

If the diagram is not provided here, you can find the relationship by analyzing the points given. A directly proportional relationship will plot a straight line through the origin (0,0) on a graph of y versus x.

Please provide any specific values from the diagram for further assistance!