Question

One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct. On a coordinate plane, the point (3, 0.75) is plotted. How can he use the graph to find an equivalent ratio?

Answer 1

Answer:

We find the gradient of the graph.

The equivalent ratio is 4:1

Step-by-step explanation:

We find the gradient of the graph. Since the point (0, 0) represents zero cups of granola and zero cups of raisins, the gradient of the graph m is gotten by measuring the ratio of the change in the y - coordinate and x - coordinates.

Since the point (3, 0.75) is plotted on the graph, this is our second point.

m = (y₂ - y₁)/(x₂ - x₁) where (0,0) = (x₁, y₁) and (3, 0.75) = (x₂, y₂)

So, the gradient m = (0.75 - 0)/(3 - 0) = 0.75/3 = 0.25 = 1/4

So, for Hamid to make a bigger, the equivalent ratio is 4:1

That is 4 cups of granola to one cup of raisins