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The data in the table show how much further a bus must travel to reach its final destination after a given amount of time at a constant rate of speed.

If the time it has traveled (t) were graphed on the horizontal axis, and the distance (d) were graphed on the vertical axis, what would the equation of the line that fits these data?

A. d=4.61-62t
B. d=407+62t
C. d=-62t-461
D. d=62t-407

The data in the table show how much further a bus must travel to reach its final destination after a given amount of time at a constant rate of speed If the tim class=

Respuesta :

lhannearaujo

y= -62t+461  would  be the equation of the line that fits given data - Option A.

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

            a> 0 , the function is increasing;

            a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

The question gives:

  • d= 213 for t=4;
  • d=27 for t=7;

Thus, you can write two linear equations.

213=4a+b (1)

27=7a+b  (2)

When you multiply the equation 2 by -1, you will have:

213= 4a+b (1)

-27= -7a-b  (2)

After that, sum both equations.

213-27=4a-7a

-3a=213-27

-3a=186

a=-62

From equation 2, you can find the coefficient b.

27=7a+b  (2)

27=7*(-62)+b

-434+b=27

b=461

Therefore, the linear equation is y= -62t+461.

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