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Question

Part 1
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 18.

y = 7 when x = 6

Write a direct variation equation that relates x and y.

y = [ ] ​(Simplify your​ answer.)

Answer 1

To write a direct variation equation that relates x and y, we can use the formula:

y = kx

where k is the constant of variation.

Since we are given that y = 7 when x = 6, we can substitute these values into the equation to find k:

7 = k(6)

To find the value of k, we can solve for it:

k = 7/6

Now that we have the value of k, we can write the direct variation equation:

y = (7/6)x

To find the value of y when x = 18, we can substitute x = 18 into the equation:

y = (7/6)(18)
y = 21