To analyze Jonathon's exercise routine based on the points provided on the graph, we can look at the relationship between the number of crunches (x-axis) and the number of push-ups (y-axis).
The points given are:
- (15, 2)
- (30, 4)
- (45, 6)
To find the ratio of crunches to push-ups, we can examine the first point (15, 2):
- For every 15 crunches, Jonathon does 2 push-ups.
Now, we can simplify this ratio:
15 crunches : 2 push-ups can be expressed as: \[ \frac{15 \text{ crunches}}{2 \text{ push-ups}} \text{ or } \frac{15}{2} = 7.5 \text{ crunches per push-up} \]
To find the relationship in terms of push-ups per crunch, we can find the reciprocal of the ratio: \[ \text{For every } 15 \text{ crunches, } 2 \text{ push-ups, we can calculate } \frac{2 \text{ push-ups}}{15 \text{ crunches}} = \frac{2}{15} \text{ push-ups per crunch} \]
Thus, for every 15 crunches, Jonathon does 2 push-ups. This relates to the statement "Jonathon does 2 push-ups for every 15 crunches."
Therefore, the correct statement summarizing his exercise routine is: Jonathon does 2 push-ups for every 15 crunches.