Alex went for a jog. He ran 12 kilometres in an hour and a half. What was his average speed in kilometres per hour? *

8km/hr

Step-by-step explanation:

12/1.5 = 8

where is the figure

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.