Question

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

Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420

Which linear equation represents the situation?

y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x

Answer 1

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Answer 2

Answer: Y=60x

Explanation:

find the slope (Y2-Y1)/(X2-X1)

(240-150)/4-2.5)

90/1.5 =60

It's multiple choice so it can only be a or b. If you do 60 x 2.5 you get 150 so there's no way you will add 480 so you are done it's A. If it's not a multiple choice question then you would do the who y=mx+b and plug in x, y and m and then find the b which in this case would be 0.