Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) left parenthesis, k, right parenthesis she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

Given that the relationship between kilometers and fuel is proportional, let the distance in km be k and the fuel be f:

thus:

kα cf

k=cf

where k is the constant of proportionality. Thus:

c=k/f

Pamela drove 99 km and used 9 liters;

∴k=99/9=11 km/liter

therefore distance covered is given by:

k=11f

hence the distance covered with 12 liters of fuel will be:

k=11*12

=132 km