Question

Sam used 4 gallons of gas to drive 108 miles and 7 gallons of gas to drive 189 miles. Is this a
proportional relationship? Explain your reasoning.
How can you tell by looking at a graph if there is a proportional relationship?

Answer 1

you just need to calculate whether 108 miles/4 gallons = 189 miles/7 gallons, if so, the relationship between gallons and miles is proportional b/c the ratios of miles to gallons is constant; otherwise, no

as for the graph, if the relationship is proportional they both should lie on the same straight line that crosses the origin

Answer 2

thank you!