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?

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Tsukiyume Tsukiyume · Answer 1 · 2016-07-11T01:46:22+02:00

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

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HafsaM HafsaM · Answer 2 · 2022-07-07T12:20:30+02:00

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

[tex]y = 3.8x + 17.4[/tex]

[tex]y=3.8\times3+17.4[/tex]

[tex]y=11.4+17.4[/tex]

[tex]y=28.8[/tex]

[tex]y[/tex] ≅ 29

29 words per minute for a person who has owned a computer for 3 years.

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