These box plots show daily low temperatures for a sample of days in two different towns.
Town A
10 15
20
30
55
Town B
5
20
30
40
55
o
5
10 15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?

-1/2 +2

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

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.

1st part is 64,000,000

2nd part 500,000

step-by-step explanation: