the roof of the school has a rise of 3.6 meters and a run of 12 meters. what is the slope/pitch of the roof?

The slope will be:

slope = 0.3

Step-by-step explanation:

As we know that the slope of a certain line is basically the measure of its steepness.

Mathematically, the slope can be calculated as 'rise over run'.

In other words, the 'rise' is 'change in y', and 'run' is 'change in x'.

Given

The roof of the school has a rise = 3.6 meters = rise = change in y

The  roof of the school has a run = 12 meters = run = change in x

So the slope will be:

slope = rise ÷ run

         = 3.6 ÷ 12

         = 0.3         ∵( 3.6 ÷ 12 = 0.3)

Therefore, the slope will be:

slope = 0.3

$15 each

step-by-step explanation:

$45/3 children= $15 each

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.