Question
The value of y varies directly with xWhen x = 14, y = 35.
What is the value of y when x = 16?
A 37
B6.4
C40
037.5
Q Search
What is the value of y when x = 16?
A 37
B6.4
C40
037.5
Q Search
Answers
GPT 3.5
To determine the value of y when x = 16, we can set up a proportion based on the direct variation relationship between x and y:
x/y = k
where k is the constant of variation. We can solve for k using the given values of x = 14 and y = 35:
14/35 = k
Dividing both sides by 14:
k = 1/2
Now that we have the value of k, we can substitute it into the equation using x = 16 to find y:
16/y = 1/2
Cross-multiplying:
16 * 2 = y
32 = y
Therefore, the value of y when x = 16 is 32. The correct answer is not provided in the given options.
x/y = k
where k is the constant of variation. We can solve for k using the given values of x = 14 and y = 35:
14/35 = k
Dividing both sides by 14:
k = 1/2
Now that we have the value of k, we can substitute it into the equation using x = 16 to find y:
16/y = 1/2
Cross-multiplying:
16 * 2 = y
32 = y
Therefore, the value of y when x = 16 is 32. The correct answer is not provided in the given options.