Respuesta :
g(h) h
12 3
8 5
4 7
0 9
Equation of the line:
slope = [12-0]/[3-9] = 12 / -6 = -2
g / [h - 9] = -2
g = -2(h-9)
g = -2h + 18
g = 18 -2h
Filling the tank ==> h = 0
g = 18 - 2(0) = 18
Answer: first option g = 18 -2 h; 18
12 3
8 5
4 7
0 9
Equation of the line:
slope = [12-0]/[3-9] = 12 / -6 = -2
g / [h - 9] = -2
g = -2(h-9)
g = -2h + 18
g = 18 -2h
Filling the tank ==> h = 0
g = 18 - 2(0) = 18
Answer: first option g = 18 -2 h; 18
Answer:
Option B) 18, [tex]g = 18 - 2h[/tex]
Step-by-step explanation:
We are given the following:
Number of hours spent driving (h): 3 5 7 9
Amount of gas left in tank (g): 12 8 4 0
We have to find the equation that models the amount of gas left in the car as Phan drives.
We can find the equation with the help of two-point form of equation of straight line.
The equation of line is given by:
[tex](y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)[/tex]
where, [tex](x_1,y_1), (x_2.y_2)[/tex] is the point through which the line passes.
(9,0), (7,4)
The equation of line is:
[tex](g-0) = \displaystyle\frac{4 - 0}{7-9}(h-9)\\\\-2g = 4h - 36\\\Rightarrow g = 18 - 2h[/tex]
Gallons of gasoline required to fill the tank =
we put h = 0 in the equation.
[tex]g = 18 - 2h\\g = 18-2(0)\\g = 18[/tex]
Thus, 18 gallons of gasoline is required to fill up the tank.
Option B) 18, [tex]g = 18 - 2h[/tex]