Question

1) Use the line best for to predict the ACT score of the student that scores 1000 on the SAT.2) Predict the SAT score corresponding to an ACT score of 32.

Answer 1

To find out the line

i will take the points

(16,600) and (30,1300)

step 1

Find out the slope

m=(1300-600)/(30-16)

m=700/14

m=50

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=50

point (16,600)

substitute

600=50(16)+b

solve for b

600=800+b

b=-200

therefore

the equation of the line is

y=50x-200

Part a

For y=1000 (SAT)

substitute in the equation

1000=50x-200

solve for x

50x=1000+200

50x=1200

x=24

answer part a is

ACT is 24

Part b

For x=32 (score)

substitute

y=50(32)-200

y=1,400

answer part b is

SAT is 1,400