Tommy wants to make a model of a building in his city. The actual building is 900 feet tall. He wants to use a scale of 3.5 in. = 225 ft. Enter the height of the model.

the height is 14 inches.

Step-by-step explanation:

We know that the actual building is 900 feet tall. Tommy wants to make a model where 3.5 inches represent 225 feet.

So the first step is dividing the 900 feet of the building into groups of 225 feet.

this is:

N = 900/225 = 4

And for each of those 4 groups, we have 3.5 inches in the model, then the height of the model is:

H = 4*3.5 = 14 inches

x = 25/2304

step-by-step explanation:

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.