3. there are 18 gallons of gas in a car at the
beginning of a trip. each hour into the trip,
2.5 gallons are used. write an equation to
represent the gas left in the car after each
hour into the trip. identify your variables.
a) what is the rate of change?
b) what is the initial value ?
c) what is the independent variable?
d) what is the dependent variable?

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

sweetheart, there isn't a cube below.