Find the rate of change

Mathematics

1 answer:

Tatiana [17]3 years ago

5 0

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
h(x)= 2^x \qquad 
\stackrel{2\le x\le 4}{\begin{cases}
x_1=2\\
x_2=4
\end{cases}}\implies \cfrac{h(4)-h(2)}{4-2}\implies \cfrac{2^4-2^2}{2}
\\\\\\
\cfrac{16-4}{2}\implies \cfrac{12}{2}\implies 6$

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Step-by-step explanation:

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Part b) Is the association between time and number of pages positive or negative? state the association in terms of variables.

Association is positive if increasing one variable, other variable is also increasing.

Association is negative if increasing one variable, other variable is decreasing.

In the given graph, the association is positive. Increasing the time, the number of pages being read are also increasing.

if time is 20 minutes, number of pages read are 12.5. if time is 25 minutes then number of pages read are 17

So, there is positive association between time and the number of pages being read.

Keywords: Association between variables

Learn more about Association between variables at:

#learnwithBrainly

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Vlad [161]

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