Question

Isabelle walks to work each morning. It takes her 5 minutes to travel one city block use the information to complete a-b.

a. Sketch a graph to show the number of blocks Isabelle can travel in a specific amount of time.

b. What features of the graph help you to determine if the relationship is proportional?

Answer 1

a. The sketch of the graph is attached

b. The graph passes through the origin

How to find the equation

a. To find the equation, we examine the statement stated in the problem

It takes her 5 minutes to travel one city block

• y = number of city blocks

• x = time of travel

• constant of proportionality = 5

So, we have the equation

y = kx

y = 5x

b. The features of the graph that help determine if the relationship is proportional are:

• The equation shows zero y intercept

• The graph passed through the origin