Question

Jonathon created a graph that shows the number of exercises he completes in his workout routine.

On a coordinate plane, a graph titled Jonathon's Exercises has number of crunches on the x-axis and push-ups on the y-axis. Points (15, 2), (30, 4), and (45, 6) are plotted.

Which statement summarizes his exercise routine?
Jonathon does 3 crunches for every 2 push-ups.
Jonathon does 2 push-ups for every 3 crunches.
Jonathon does 2 push-ups for every 15 crunches.
Jonathon does 15 push-ups for every 2 crunches.

Answer 1

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.**