A car moving at a constant speed passed a timing device t = 0. After 9 seconds, the car has traveled 774 ft. Write a linear function role to model the distance in feet d the car has traveled any number of seconds t after passing the timing device. The linear function rule is d = ???
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A car moving at a constant speed passed a timing device t 0 After 9 seconds the car has traveled 774 ft Write a linear function role to model the distance in fe class=

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The linear function that represent the timing device is given by d = 86t

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let d represent the distance in feer and t represent the time in seconds. Hence:

  • Using the points (0, 0) and (9, 774)

[tex]d-d_1 = \frac{y_2-y_1}{t_2-t_1} (t-t_1)\\\\d-0=\frac{774-0}{9-0}(t-0)\\\\d=86t[/tex]

The linear function that represent the timing device is given by d = 86t

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