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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
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, and the E-axis of his graph should go from 0 to at least
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.

1 answer

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.