Starting at 11:48 AM, Benjamin followed a chameleon in the forest for 33 minutes. He got to see it change color two times. What time did he stop watching and head back home?

12.21pm

Step-by-step explanation:

To the question, Benjamin followed a chameleon in the forest from 11:48 AM and followed the chameleon for 33 minutes.

To get the time Benjamin went back home, we add the starting time plus the time duration used in the forest. This will be

= 11.48am + 33minutes

= 12.21pm

Recall that 60 minutes make 1 hour.

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.