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Mathematics 23 Online
OpenStudy (lena772):

2. Find the equation of the line in the graph and mathematically model the scenario using function notation where cost is a function of number of minutes.

OpenStudy (lena772):

OpenStudy (anonymous):

Your line has coordinates (0,300) and (450,0) The equation of the line requires slope. The slope of the line is (0-300)/(450-0) = -300/450 = -2/3 So now you write the equation of the line whose slope is - 2/3 and passing through the points (0,300) and (450,0).

OpenStudy (anonymous):

You do it. Look what I did in the other problem and do the same for the new graph.

OpenStudy (lena772):

(0, 20) (700, 55) m=y2-y1/x2-x1 m= 55-20/700-0 m=35/700 m=1/20 y=(1/20)+b

OpenStudy (lena772):

@Loser66

OpenStudy (loser66):

to me, I choose 2 specific points (0, 20) and (400, 40) so \(\dfrac {y-y_0}{x -x_0}=\dfrac{40-20}{400-0}=\dfrac{20}{400}=\dfrac{1}{20}\)that is the slope m of the line then plug that slope into the formula of the line that is \(y -y_0 = m (x -x_0)\) again, I choose the point (0,20) as \((x_0, y_0) \) to plug in it so, I have y - 20 = \(\dfrac{1}{20}\) (x -0) y = \(\dfrac{ 1}{20}x +20\) that is the equation of the given line

OpenStudy (anonymous):

eh Im on the same question

OpenStudy (lena772):

Good luck @ninjabearsnowman

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