Question
If x and y are direct proportion and y is 26 when x is 13, find y when x is 12
Answers
GPT 3.5
If x and y are in direct proportion, it means they have a constant ratio. Let's assume this ratio is k.
According to the given information, when x is 13, y is 26. So we can set up the equation:
x/y = k (equation 1)
When x is 13, y is 26, and equation 1 can be written as:
13/26 = k
Simplifying the equation, we find:
1/2 = k
Now, we need to find y when x is 12.
Using the value of k, we can set up the equation:
x/y = k
12/y = 1/2
Cross multiplying, we find:
2 * 12 = 1 * y
24 = y
Therefore, when x is 12, y is 24.
According to the given information, when x is 13, y is 26. So we can set up the equation:
x/y = k (equation 1)
When x is 13, y is 26, and equation 1 can be written as:
13/26 = k
Simplifying the equation, we find:
1/2 = k
Now, we need to find y when x is 12.
Using the value of k, we can set up the equation:
x/y = k
12/y = 1/2
Cross multiplying, we find:
2 * 12 = 1 * y
24 = y
Therefore, when x is 12, y is 24.