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A scatter plot was made to show the record for the 100-meter dash over several years at Meander High School. The equation of the scatter plot’s trend line is y = -.14x 12.5 where y is the record i seconds, and x is the number of years since the year 2000. Use the trend line equation to predict the year that the record for the 100-meter dash was 11.8 seconds.

A. 2005
B. 2010
C. 2011
D. 1995

Respuesta :

Using the trend line, it is found that the year in which the record for the 100-meter dash was 11.8 seconds was:

A. 2005

What is the regression line?

It is given by:

[tex]y = -0.14x + 12.5[/tex]

In which:

  • y is the record in seconds.
  • x is the number of years since the year 2000.

The record will be of 11.8 seconds x years after 2000, considering that y = 11.8, hence:

[tex]y = -0.14x + 12.5[/tex]

[tex]11.8 = -0.14x + 12.5[/tex]

[tex]0.14x = 0.7[/tex]

[tex]x = \frac{0.7}{0.14}[/tex]

[tex]x = 5[/tex]

Hence in 2005, and option A is correct.

More can be learned about regression lines at https://brainly.com/question/26059078

raphealnwobi

In the year 2005,  the record for the 100-meter dash was 11.8 seconds.

Linear function

A linear function is given by:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the record on seconds x years since 2000.

Given that:

y = -0.14x + 12.5

For 11.8 seconds:

11.8 = -0.14x + 12.5

x = 5

The year = 2000 + 5 = 2005

In the year 2005,  the record for the 100-meter dash was 11.8 seconds.

Find out more on Linear function at: https://brainly.com/question/15602982

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