#### jjwarren54

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Let the number of riders be a function of the fares. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.

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Let the number of riders be a function of the fares. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.

Well, what do you think? Name the number of .25 increases \(\displaystyle x\). Let \(\displaystyle \,f(x)\,\)or\(\displaystyle \,y\,\) be the number of people.

Hence:\(\displaystyle \L \;\;f(x)\,=\,800\,-\,40x\,\,\Rightarrow\,y\,=\,-40x\,+\,800\).

Does that look like an equation of a line, parabola, hyperbola, or exponential ?

Hopefully I interpreted this problem correctly.

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Thank you very much jonboy.

I believe this is a exponential. am i right?

I believe this is a exponential. am i right?

For every 25 cent increase they lose 40 customers.

Therefore, revenue would be:

\(\displaystyle \L\\R(x)=\overbrace{(2.25+0.25x)}^{\text{cost per rider}}\underbrace{(800-40x)}_{\text{number of riders}}=x^{2}-11x-180\)

where x = number of increases.

Hint: You should see this is

I suppose by the slope of the graph, they mean the derivative.