Question

Rosa is participating in a fun run to raise money for the West Side Children's Hospital. The run is held at Rosa's high school track. The more laps Rosa runs around the track, the more money she raises for the hospital.

There is a proportional relationship between the number of laps Rosa runs, x, and the amount of money she raises for the hospital (in dollars), y.
x (laps) y (dollars)
1 $5
2 $10
3 $15
4 $20
Write an equation for the relationship between x and y.
y=

Answer 1

y=5x

Explanation:

A proportional relation is of the form
`y=kx`

To find k, we put any ordered pair from the table and solve for k.

From the table when x=1, k=5

This implies that:

`5=k(1)`

We simplify to get;

`k=5`

We put this back into the equation to get:

`y=5x`