The number of Miles a car can be driven is proportional to the number of gallons of gasoline at uses. The car can be driven 14 miles per one and a half gallon of gasoline used. What is the constant of proportionality for the relationship between miles driven and gallons of gasoline?

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 =

Put values in equation (1) to find k.

Hence, the value of constant of proportionality is 9.34.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)