Question

8)
a recipe calls for 3 cups of oats and 2 cups of flour
there are __________ cups of oats for every 2 cups of flour
the ratio of cups of oats to cups of flour is __________.
the ratio of cups of flour to cups of oats is __________.

1. there are 8 sandwiches for every 4 guests.

there are __________ guests for every 8 sandwiches.
the ratio of sandwiches to guests is __________.
the ratio of guests to sandwiches is __________.

1. a runner travels 1 mile for every 9 minutes he runs.

the ratio of miles run to minutes run is __________.
the ratio of minutes run to miles run is __________.
for #11 and #12, complete the table, then plot points on the graph to represent
the ratios.
11)
a school cafeteria has 1 table for every
12 students.

students	24			96
tables	2	4	6

(graph: x-axis students (0,24,48,72,96,120), y-axis tables (0,2,4,6,8))

Explanation:

Step1: Analyze the ratio

The ratio of students to tables is \( 12:1 \) (12 students per table). So, to find the number of students for a given number of tables, we use the formula \( \text{Students} = 12 \times \text{Tables} \). To find the number of tables for a given number of students, we use \( \text{Tables} = \frac{\text{Students}}{12} \).

Step2: Find students for 4 tables

For 4 tables: \( \text{Students} = 12 \times 4 = 48 \)

Step3: Find students for 6 tables

For 6 tables: \( \text{Students} = 12 \times 6 = 72 \)

Step4: Find tables for 96 students

For 96 students: \( \text{Tables} = \frac{96}{12} = 8 \)

Answer:

The completed table is:

Students	24	48	72	96