# Answer to Question #2994 in Algebra for Janashia

Question #2994

Students Per Computer In the early years of microcomputers,

school districts could not afford to buy a computer

for every student. As the price of computers decreased,

more and more school districts have been able to attain

this goal. The following table lists numbers of students

per computer during these early years.

(a) Make a scatterplot of the data. Would a straight line

model the data accurately? Explain.

(b) Discuss how well the formula

models these data, where S represents the students per

computer and y represents the year.

(c) In what year does the formula reveal that there were

about 17 students per computer?

S 5

125

1 1 0.7sy 2 1983d

, y $ 1983

Year 1983 1985 1987 1989

Students/Computer 125 50 32 22

Year 1991 1993 1995 1997

Students/Computer 18 14 10 6

school districts could not afford to buy a computer

for every student. As the price of computers decreased,

more and more school districts have been able to attain

this goal. The following table lists numbers of students

per computer during these early years.

(a) Make a scatterplot of the data. Would a straight line

model the data accurately? Explain.

(b) Discuss how well the formula

models these data, where S represents the students per

computer and y represents the year.

(c) In what year does the formula reveal that there were

about 17 students per computer?

S 5

125

1 1 0.7sy 2 1983d

, y $ 1983

Year 1983 1985 1987 1989

Students/Computer 125 50 32 22

Year 1991 1993 1995 1997

Students/Computer 18 14 10 6

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