The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?
Hot Pepper Corn Caramel Corn
5 8
10 16
15 24
Group of answer choices
0.625
3
1.6
8
To find the constant of proportionality, we need to find the ratio of the number of hot pepper corns to caramel corns in each row of the table.
In the first row, the ratio is 5/8.
In the second row, the ratio is 10/16.
In the third row, the ratio is 15/24.
We can see that the ratio is consistent in each row, so the constant of proportionality is the same for all rows.
To find the constant of proportionality, we can take any of the ratios and simplify it. Let's take the first row ratio:
5/8 = (5/1)/(8/1) = (5/1)(1/8) = 5/8
So, the constant of proportionality is 5/8 or 0.625.
Therefore, the answer is 0.625.