The table represents the total miles traveled, y, after a number of hours, x.

What linear equation would represent this situation?

The table represents the total miles traveled y after a number of hours x What linear equation would represent this situation class=

Respuesta :

60x=y

To find this answer, find what y/x=m would be for m
150/2.5=60
240/4= 60
330/5.5=60
420/7=60

Answer:

[tex]y=60 x[/tex]

Step-by-step explanation:

We are given that

[tex]x_1=2.5 [/tex]

[tex]y_1=150[/tex]

[tex]x_2=4.0[/tex]

[tex]y_2=240[/tex]

Slope formula:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the formula

Slope :[tex]m=\frac{240-150}{4-2.5}=60[/tex]

Point- slope equation:

[tex]y-y_1=m(x-x_1)[/tex]

Using the formula

The linear equation of the given situation is given by

[tex]y-150=60(x-2.5)[/tex]

[tex]y-150=60x-150[/tex]

[tex]y=60x-150+150[/tex]

[tex]y=60 x[/tex]