Meg used this table to track the average attendance from month to month at her theater for five months.

Question

A 5-column table with 1 row is titled Percent Increase and Decrease. Column 1 is labeled October with entry negative 1. Column 2 is labeled November with entry 0.5. Column 3 is labeled December with entry negative 0.9. Column 4 is labeled January with entries three-fourths. Column 5 is labeled February with entry one-half. A number line going from negative 1 to positive 1 in increments of 0.25.

Graph the numbers on the number line. Choose the inequality symbol that makes each comparison true.

Nov.__Feb.
Oct.__Dec.
Jan__Nov.

Answer 1

Let's start by summarizing the average attendance changes (percent increases or decreases) for each month based on the entries in the table:

• October: -1 (a decrease of 1%)
• November: 0.5 (an increase of 0.5%)
• December: -0.9 (a decrease of 0.9%)
• January: 0.75 (an increase of 0.75%)
• February: 0.5 (an increase of 0.5%)

Next, we will plot these percentages on a number line that goes from -1 to +1:

• October: located at -1
• November: located at 0.5
• December: located at -0.9
• January: located at 0.75
• February: located at 0.5

Now, let's compare the months according to the requested inequalities:

1. November vs. February:

   • November (0.5) is equal to February (0.5).
   • The inequality is Nov. = Feb.

2. October vs. December:

   • October (-1) is less than December (-0.9).
   • The inequality is Oct. < Dec.

3. January vs. November:

   • January (0.75) is greater than November (0.5).
   • The inequality is Jan. > Nov.

Combining these, we have:

• Nov. = Feb.
• Oct. < Dec.
• Jan. > Nov.