For several years, Graham has gathered data on students who own a computer and on their performance on a typing-speed test. He creates the linear model y = 3.8x + 17.4 where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer. According to Graham’s model, what is the approximate speed of a student who has owned a computer for three years?
y = 3.8x + 17.4
y = (3.8 x 3) + 17.4
y= 11.4 + 17.4
y = 28.8
28.8 words per minute for a person who has owned a computer for 3 years
29 words per minute for a person who has owned a computer for 3 years.
A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.
Given
Linear model y = 3.8x + 17.4
where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer.
Here x = 3 years
Substituting x = 3 in linear model
\(y = 3.8x + 17.4\)
\(y=3.8\times3+17.4\)
\(y=11.4+17.4\)
\(y=28.8\)
\(y\) ≅ 29
29 words per minute for a person who has owned a computer for 3 years.
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