1 ACTIVITY: Estimating a Part
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Answer:
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call the time in hours and
the traveled distance in miles:
Point 1:
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2:
Since we are told the car's final position is 180 miles after 3h
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<u>Let's find the Slope :
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This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis () with any of the given points. Let's choose Point 1:
Isolating :
Then, the equation of the line is:
Assuming that 
is the amount of hours spent doing homework:
Plug in
for
, 
That means that since a
value is the test score (because that's what the y-axis is labeled), your predicted test score is a 64.
Plug in
That means that since a