Edgar has 7 gallons of gas ⛽️ remaining in his car after driving for 30 miles he had 4 gallons left in the tank how many gallons will be left in the take after driving 50 miles Please show work in organized steps

2 gallons left after driving 50 miles

Step-by-step explanation:

Edgar has 7 gallons of gas remaining in his car after driving for 30 miles he had 4 gallons left in the tank

Initially he has 7 gallons of gas

after 30 miles 4 gallons left

Let m be the number of miles and g be the gallons left

(0,7)  (30,4)

find slope using formula

y intercept b= 7

so equation becomes

now find out g when m= 50 miles

so 2 gallons left after driving 50 miles

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50