Suppose that h(x) varies directly with x and h(x)=44 when x = 2. What is h(x) when x = 1.5?

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Suppose that h(x) varies directly with x and h(x)=44 when x = 2. What is h(x) when x = 1.5?

Direct variation means we set up an equation:
h(x) = kx where k is the constant of variation.

For h(x) = 44 when x = 2, we have:
2k = 44

Type this equation into our search engine, we get:
k = 22

The question asks for h(x) when x = 1.5. So we set up our variation equation, knowing that k = 22.
kx = h(x)

With k = 22 and x = 1.5, we get:
22(1.5) = h(x)
h(x) = 33