Let the function P represent the population P(d), in thousands of a colony of insects d days after first being measured. A model for Pis P(d) = 10 • (1.08)". Select all the statements
that are true about this situation.
A
There were 1,080 insects when the colony was first counted.
B
One week after the colony was first counted, there were 10,800 insects,
С
The growth factor per day is 1.08.
D
The growth factor per week is 1.08 . 7.
E
The growth factor per hour is 1.087
1.08

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.

step-by-step explanation:

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