Answer:
k = 9.34
Step-by-step explanation:
The number of Miles a car can be driven is proportional to the number of gallons of gasoline it uses.
x ∝ g
x = kg ....(1)
k is constant of proportionality, x is no of miles and g is no of gallons
The car can be driven 14 miles per one and a half gallon of gasoline used.
Here x = 14 and g = [tex]1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Put values in equation (1) to find k.
[tex]k=\dfrac{14}{\dfrac{3}{2}}\\\\x=9.34[/tex]
Hence, the value of constant of proportionality is 9.34.
