Population density is a measure of how crowded an area is. the population density of australia is approximately 7.6 people per square mile. if bangladesh has 2,949.7 more people per square mile than australia, what is the population density of bangladesh? a) 2942.10 people per square mile b) 2957.30 people per square mile c) 3025.70 people per square mile d) 3709.70 people per square mile

2,949.7 + 7.6 = 2957.3

The appropriate choice is

... B) 2957.30 people per square mile

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.