Question

If x and y vary directly, and y is 52 when x is 13, find y when x is 14.

A) 56
B) 60
C) 62
D) 68

Answer 1

In a direct variation, the relationship between x and y can be represented by the equation y = kx. Given the data point (x=13, y=52), we can find the value of k and use it to find y when x is 14.

Step-by-step explanation:

In a direct variation, the relationship between x and y can be represented by the equation y = kx, where k is the constant of variation.

To find the value of k, we can use the given data point (x=13, y=52).

52 = k(13) => k = 52/13 = 4.

Now, we can use the value of k to find y when x is 14.

y = 4(14) = 56.

Therefore, when x is 14, y is 56. Therefore, the answer is A) 56.