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Arisa [49]
3 years ago
13

The table below shows the cost of riding in a taxi cab. What is the rate of change?

Mathematics
1 answer:
hjlf3 years ago
3 0
Choose any 2 points from the table:

<span>*10----------------------$25
*15----------------------$35
*20----------------------$45
*25----------------------$55

and find the slope of the line.  Supposing we focus on

</span>*15----------------------$35
*20----------------------$45

then:
                     $45-$35         $10
slope = m = ------------- = ---------- = $2/mile
                       20-15              5
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Step-by-step explanation:

Step 1 :      f(x) = 8x² + 3x

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                f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

                f (x + h) = 8x² + 16xh + 8h² + 3x + 3h

Step 2 f(x+h) - f(x) =  8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

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Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

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Step 4 lim  f(x + h) - f(x)/ h = lim 16x + 8h + 3  = lim 16x + 8(0) + 3 = 16x + 3

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Step-by-step explanation:

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Hope this answered your question!

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