The accompanying data were compiled by the admissions office of a certain college during the past 5 years. The data relate the number of college brochures and follow-up letters (x) sent to a preselected list of high school juniors who took the PSAT and the number of completed applications (y) received from these students (both measured in thousands).Brochures Sent, x    1.1    2    3.8    5    6.2Applications Completed, y    0.3    0.5    1    1.25    1.6(a) Derive an equation of the straight line that passes through the points (2, 0.5) and (5, 1.25).y =    (b) Use this equation to predict the number of completed applications that might be expected if 8000 brochures and follow-up letters are sent out during the next year. applications

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Asked Oct 25, 2019
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The accompanying data were compiled by the admissions office of a certain college during the past 5 years. The data relate the number of college brochures and follow-up letters (x) sent to a preselected list of high school juniors who took the PSAT and the number of completed applications (y) received from these students (both measured in thousands).

Brochures Sent, x     1.1     2     3.8     5     6.2
Applications Completed, y     0.3     0.5     1     1.25     1.6
(a) Derive an equation of the straight line that passes through the points (2, 0.5) and (5, 1.25).
y = 
 
 
 


(b) Use this equation to predict the number of completed applications that might be expected if 8000 brochures and follow-up letters are sent out during the next year.
 applications
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Expert Answer

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(a)

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The equation of aline passing through the points (x,y) and (x,, y,) is given by х— х, yy substitute (x.y = (2,0.5) and (x2,y)= (5,1.25) in the above equation 2 у- 0.5 х 1.25-0.5 5-2 у - 0.5 х— 2 0.75 3 Зу-1.5-0.75х —1.5 3y 0.75x 0.75 y= x 3

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