Question

Antoine is graphing the total number of prizes needed, P, based on the number of entries in a contest, E. He knows that for every 10 entries, he will need 1 prize, and he would like for his graph to show the total number of prizes needed for 100 and 150 entries.



Select from the drop-down menus to correctly complete each statement.

To best show this information, the scale for the P-axis of his graph should go from 0 to at least
Choose...
, and the E-axis of his graph should go from 0 to at least
Choose...
.

Answer 1

To determine the scale for the P-axis and E-axis of Antoine's graph based on the given information:

1. **Prizes (P)**: Since Antoine needs 1 prize for every 10 entries (E), we can calculate the total number of prizes needed for 100 and 150 entries:
- For 100 entries: \( P = \frac{100}{10} = 10 \)
- For 150 entries: \( P = \frac{150}{10} = 15 \)
Therefore, the P-axis should go from 0 to at least **15**.

2. **Entries (E)**: The maximum number of entries Antoine wants to show is 150, so the E-axis should go from 0 to at least **150**.

Putting it all together:
- The scale for the P-axis of his graph should go from 0 to at least **15**.
- The E-axis of his graph should go from 0 to at least **150**.