Respuesta :
Answer:
By Proportionality relationship: A proportionality in which two quantity vary directly to each other.
i,e [tex]y \propto x[/tex]
then; the equation is of the form: [tex]y =kx[/tex] where k is the constant of proportionality.
As per the given statement: The function m(g) provides the number of miles a car can travel on g gallons of gas.
By definition of proportionality, we have;
[tex]m(g) = kg[/tex] .....[1] where k is the constant of proportionality.
Also, it is given that the fuel tank holds 14 gallons which allows a maximum ride of 504 miles.
⇒[tex]g = 14 \text{gallons}[/tex] and m(g) = 504 miles
Substitute these in [1] to solve for k;
[tex]504 = 14k[/tex]
Divide both sides by 14 we get;
k = 36
Therefore, our equation become:
[tex]m(g) = 36g[/tex] where g represents the number of gallons and m(g) represents the distance, in miles
Domain for this equation is; [0,14]
0 represents the empty tank and 14 representing a full tank.
Range: [0, 504]
0 represents the miles traveled on an empty tank and 504 miles represents the distance traveled on a full tank.
