Find the equation of the line that passes throughP(6,0) andQ(1,−1).

Step-by-step explanation:

y=mx+b where m is the slope and b is the y intercept

m=(y2-y1)/(x2-x1), we have points (6,0) and (1,-1)

m=(-1-0)/(1-6)=1/5 so we have

y=x/5+b, using point (6,0) we can solve for b

0=6/5+b

b=-6/5

y=x/5-6/5 or more neatly

y=(x-6)/5

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you