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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 53 km/h. After six hours, the velocity of the car is 62 km/h.


Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)


Part B: How can you graph the equation obtained in Part A for the first seven hours? (5 points)

Respuesta :

pmayl
Assuming a linear function:
The slope of the graph is:
rise/run = (62-53) / (6-3) = 9/3 = 3
Plugging in a point and the slope: 
y = 3x + b          Plug in (3,53) for (x,y)
53 = 3*3 + b      Subtract 9 from both sides
44 = b 
Therefore:
 y = 3x + 44
In Standard Form:
y - 3x = 44

In order to graph for the first seven hours, or any amount of time greater than zero, you would start at the point (0, 44) and draw a line moving rightward (1st quadrant of the graph) with a slope of 3. 

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