Question

The formula for determining how long a hike will take is t=1/2(d+h) , where d is the distance in miles and h is the elevation gain in thousands of feet.

Solve for h.



h=t−d/2

h=1/2 t−d

h=2d−t

h=2t−d

Answer 1

$t=\frac{1}{2}(d+h)\quad|\cdot2\\\\2t=d+h\quad|(-d)\\\\\boxed{2t-d=h}$

Answer d)

Answer 2

We want to rewrite one function such that the dependent and independent variables are interchanged.

We will get that the function for h is:

$h = 2t - d$

Here the initial function is:

$t = (1/2)*(d + h)$

We need to solve it for h, this means isolating h in one side of the function, so let's do that:

$t = (1/2)*(d + h)\\2t = d + h\\2t - d = h\\\\h = 2t - d$

So the function for h is the one you can see above: h = 2t - d.

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