The equation of Q(n) is
The functions are given as:
From the question, we understand that:
d = P(n)
This means that:
d = 88n + 23
Substitute d = 88n + 23 in R(d)
Also, from the question
Q(n) = R(n)
So, we have:
Hence, the equation of Q(n) is
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<u>Given:</u>
Take west to be the positive direction. The height of a sloped roof above the place where you stand is 12 feet. If you move 3 feet west, the height is 10 feet.
We need to determine the slope.
Let x denote the standing place.
Let y denote the height.
Writing the given as coordinates, we get;
(0,12) and (3,10)
<u>Slope</u>:
The slope can be determined using the formula,
Substituting the coordinates (0,12) and (3,10), we have;
Thus, the slope is