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V125BC [204]
3 years ago
13

Find the rate of change demonstrated in the graph below.

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

The rate of change of a graph, is the slope of the graph.

The rate of change of the graph is 4.5

The points on the graph are:

\mathbf{(x,y) = (2,9) (4,18)}

So, the slope (m) is calculated as:

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

This gives

\mathbf{m = \frac{18 - 9}{4-2}}

\mathbf{m = \frac{9}{2}}

\mathbf{m = 4.5}

Hence, the rate of change of the graph is 4.5

Read more about rates at:

brainly.com/question/12786410

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Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of
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Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0
2 years ago
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