Ayoung sumo wrestlers decided to go on a special diet to gain weight rapidly w (t)=80+5.4t how much weight does the wrestler gain every 2 months

The rate is 5.4 per month so in two months gains 10.8

10.8 kg

Step-by-step explanation:

We are given that weight of young Sumo wrestler is given by

We have to find the weight of wrestler gain in every months.

In order to find the weight gain in 2 month we will find out w(2)

Then, we get

Weight gain in 2 month=90.8-80=10.8 kg

Hence,the wrestler gain 10.8 kg in every 2 months.

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.