Pamela drove her car
99
9999 kilometers and used
9
99 liters of fuel. She wants to know how many kilometers
(
k
)
(k)left parenthesis, k, right parenthesis she can drive with
12
1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with
12
1212 liters of fuel?
To find out how many kilometers Pamela can drive with 12 liters of fuel, we need to set up a proportion using the given information.
We know that Pamela drove 99,999 kilometers with 9,999 liters of fuel. Therefore, the ratio of kilometers to fuel used is:
99,999 km / 9,999 L
Now, we can set up the proportion by comparing this ratio to the unknown ratio of kilometers to 12 liters of fuel:
(99,999 km / 9,999 L) = (x km / 12 L)
We can cross-multiply to solve for x:
(99,999 km * 12 L) = (9,999 L * x km)
1,199,988 km = 9,999 L * x km
To isolate x, we divide both sides of the equation by 9,999 L:
(1,199,988 km) / (9,999 L) = x km
Simplifying the equation gives us:
x ≈ 120 km
Therefore, Pamela can drive approximately 120 kilometers with 12 liters of fuel.