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Mathematics

2 answers:

mr_godi [17]3 years ago

7 0

Answer:

Average rate of change =2

Step-by-step explanation:

We need to find about what is the average rate of change from x = 2 to x = 3.

So first we need to find the y-values of given x-values.

when x=2, then graph passes through y=-3

when x=3, then graph passes through y=-1

Now plug these values into average rate of change formula:

Average rate of change $=\frac{y_2-y_1}{x_2-x_1}$

Average rate of change $=\frac{-1-\left(-3\right)}{3-2}$

Average rate of change $=\frac{2}{1}$

Average rate of change =2

Hence final answer is 2.

Nadya [2.5K]3 years ago

3 0

You basically need to find the slope of (2,-3) and (3,-1). Where x is 2, y is -3 and were x is 3, y is -1.
Slope is y2-y1/x2-x1
2 is your slope. So, the average rate of change from x=2 and x=3 is 2.
Hope I helped!

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Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$