Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below. Melanie uses the ordere

Question

3 years ago

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Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below. Melanie uses the ordere

d pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?

Mathematics

2 answers:

Elanso [62] · Answer 1 · 2022-05-31T12:38:27+03:00

Melanie: <span> (2010, 48) and (2013, 59)
Equation will be
y = (59-48)/(2013-2010) * (x - 2010) + 48
</span>>> y = (11/3) * (x - 2010) + 48
>> y = (11/3)x - (11/3)*2010 + 48
>> y = (11/3)x - 7370 + 48
>> y = (11/3)x - 7322

Tracy: (0, 48) and (3, 59)
Equation will be
y = (59-48)/(3-0) * (x - 0) + 48
>> y = (11/3) * x + 48
>> y = (11/3)x + 48

The slopes of both the equations are same, but y-intercept are different. Because Melanie used actual years (variable x), whereas Tracy used years since 2010.

Marina CMI [18] · Answer 2 · 2022-05-31T14:03:42+03:00

<h2><u>Answer:</u></h2><h2><u>Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below. </u></h2><h2><u> </u></h2><h2><u>Participation in the School Band </u></h2><h2><u>Year </u></h2><h2><u>Number of students </u></h2><h2><u>2010 </u></h2><h2><u>48 </u></h2><h2><u>2011 </u></h2><h2><u>52 </u></h2><h2><u>2012 </u></h2><h2><u>55 </u></h2><h2><u>2013 </u></h2><h2><u>59 </u></h2><h2><u> </u></h2><h2><u>Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare? </u></h2><h2><u> A. They will have the same slopes and the same y-intercepts. </u></h2><h2><u>B.They will have the same slopes but different y-intercepts. </u></h2><h2><u>C.They will have different slopes but the same y-intercepts. </u></h2><h2><u>D.They will have different slopes and different y-intercepts.</u></h2><h2><u>Step-by-step explanation:</u></h2><h2><u>B.They will have the same slopes but different y-intercepts. </u></h2><h2><u>IS THE ANSWER </u></h2>

<h2><em><u>Using Equations to Represent Trend Lines</u></em></h2>

<h2><u>THESE IS THE CORRECT AND RIGHT ANSWER THE OTHER ARE ALL WRONG </u></h2>

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