Question

Harry can run 5 miles in 35 minutes. Pick the coordinate pair that would NOT be in the graph of the ratio.

Answer 1

If Harry can run 5 miles in 35 minutes, we can define the relation between the distance he run (y) in a certain period of time (x) as:

$y=k\cdot x$

As we know that when x=35 minutes, y=5 miles, we can calculate the constant k as:

$y=kx\longrightarrow k=\frac{y}{x}=\frac{35}{5}=7\text{ miles per minute}$

Then, we have the relation:

$y=7\cdot x$

Any pair that does not satisfy this relation will not be in the graph of y=7x.