The table shows a proportional relationship between the number of M&Ms and raisins in trail mix. What is the constant of proportionality between M&Ms and raisins?
A
1
B
2
C
4
D
12
To find the constant of proportionality, we need to look at the ratio between the number of M&Ms and raisins in the trail mix. The table does not provide enough information to determine the constant of proportionality. Therefore, we cannot determine the correct answer without additional information.
To find the constant of proportionality, we can take any two pairs of values and divide the number of M&Ms by the number of raisins. Let's take the first and second pairs:
First pair: 3 M&Ms, 6 raisins
Second pair: 5 M&Ms, 10 raisins
For the first pair, 3 M&Ms ÷ 6 raisins = 0.5
For the second pair, 5 M&Ms ÷ 10 raisins = 0.5
Since we get the same value for both pairs, the constant of proportionality is 0.5.
Therefore, the correct answer is A) 1.
To find the constant of proportionality between M&Ms and raisins in the given table, we need to examine the ratio between the number of M&Ms and raisins for each value in the table.
Let's take a look at the ratio of M&Ms to raisins for each row in the table:
- The first row shows 2 M&Ms and 4 raisins. The ratio of M&Ms to raisins is 2:4, which simplifies to 1:2.
- The second row shows 4 M&Ms and 8 raisins. The ratio of M&Ms to raisins is 4:8, which also simplifies to 1:2.
- The third row shows 6 M&Ms and 12 raisins. The ratio of M&Ms to raisins is 6:12, which simplifies to 1:2.
From this analysis, we can conclude that the ratio between the number of M&Ms and raisins is consistently 1:2 in each row of the table.
Therefore, the constant of proportionality between M&Ms and raisins is 2.
The answer is B: 2.