Question

If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this relation?

a) 10
b) 040
c) 100
d) 198

Answer 1

The numeric constant of variation in this relation is 100.

Step-by-step explanation:

To find the numeric constant of variation, we can set up a proportion using the given information. Since y varies directly as x, we can write the equation y = kx, where k is the numeric constant of variation.

Using the given values, we have 400 = kr and r = k(4).

Solving these equations, we find that k = 100. Therefore, the numeric constant of variation in this relation is 100.