Question

susan trained three racehorses. she trained the first for 30 months, the second for 50 months, and the third for 80 months. the diagram below shows the number of races each horse won.number of months trainedsusan wonders if the number of races won and number of months trained are proportional for the three horses.if they were proportional, fill in the blank with a whole number or a decimal.proportionalthe number of races a horse won is times the number of months the horse was trainednot proportional

Explanation:

Check if $\frac{\text{Races Won}}{\text{Months Trained}}$ is constant for all horses:

1. First horse: $\frac{18}{30} = \frac{3}{5} = 0.6$
2. Second horse: $\frac{30}{50} = \frac{3}{5} = 0.6$
3. Third horse: $\frac{48}{80} = \frac{3}{5} = 0.6$

Since the ratio is consistent, the quantities are proportional, with the races won equal to $\frac{3}{5}$ of the training months.

Answer:

Proportional
The number of races a horse won is $\frac{3}{5}$ times the number of months the horse was trained