You want to produce a scale drawing of your living room which is 14 ft by 16 ft if you use a scale of 2 in = 4 ft what will be the dimensions of your scale drawing.

7 in by 8 in

Step-by-step explanation:

The dimensions of the living room is 14 ft by 16 ft

In the scale drawing 2 in = 4 ft

So, 1 in of the scale drawing represents 2 ft in the real world.

Hence, the dimensions of the scale drawing are 7 in by 8 in.

what is the original number? you forgot to add it.

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.