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dentify the values 3.5 +2.5x 6 + 2.5x 2.5 2.5 +3.5x 6 3.5 y 6.5 y= 6 5.5 5 4.5 4 3.5 Cost (dollars) 3 2.5 dollars per mile rate of change = 2 1.5 dollars initial value = 1 $ 4 6 1 2 25 3 Distance (miles)

dentify the values 35 25x 6 25x 25 25 35x 6 35 y 65 y 6 55 5 45 4 35 Cost dollars 3 25 dollars per mile rate of change 2 15 dollars initial value 1 4 6 1 2 25 3 class=

Respuesta :

The initial value at distance = 0 is 3.5

For the rate of change, let's take the following points in the graph:

(0 ,3.5)

(1,6)

[tex]\text{rate of change = }\frac{y_2-y_1}{x_2-x_1}=\frac{6-3.5}{1-0}=\frac{2.5}{1}=2.5[/tex]

For the equation of the line, let's take the y-intercept [b = 3.5] (0 ,3.5) and the slope [m] 2.5 ( the rate of change is the slope).

y = mx + b

y = 2.5x + 3.5

y = 3.5 + 2.5x

Answers:

Initial value = 3.5

rate of change = 2.5

y = 3.5 + 2.5x

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