Respuesta :

We are given the graph shows the cost of traveling by car on a turnpike.

Let us take two coordintes on the graph

(8,0.60) and (32,2.40)

We need to find the slope between those two points.

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(8,\:0.6\right),\:\left(x_2,\:y_2\right)=\left(32,\:2.4\right)[/tex]

[tex]m=\frac{2.4-0.6}{32-8}[/tex]

[tex]m=0.075[/tex]

Therefore, slope for the given line is 0.075.

Answer:

The required slope is [tex]\frac{3}{40}\ or\ 0.075[/tex]

Step-by-step explanation:

Consider the provided graph.

The graph shows the cost of traveling by car on a turnpike.

The slope is the rate of change of a function, that is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we can find two points on the line that is: (8,0.60) and (32,2.40)

Now substitute the respective values in the above formula.

[tex]m=\frac{2.40-0.60}{32-8}\\m=\frac{1.8}{24}\\m=\frac{3}{40}\ or\ 0.075[/tex]

Hence, the required slope is [tex]\frac{3}{40}\ or\ 0.075[/tex]

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