PROBLEM
How many kilometers (k) can Pamela drive with 12 liters of fuel if she drove 99 km using 9 liters?
STEP 1
Assumptions1. Pamela drove99 kilometers using9 liters of fuel.
. The relationship between kilometers and fuel is proportional.
3. Pamela wants to know how many kilometers she can drive with12 liters of fuel.
STEP 2
First, we need to find the proportionality constant, which is the ratio of kilometers driven to the liters of fuel used.Proportionalityconstant=LitersoffuelusedKilometersdriven
STEP 3
Now, plug in the given values for kilometers driven and liters of fuel used to calculate the proportionality constant.
Proportionalityconstant=9liters99kilometers
STEP 4
Calculate the proportionality constant.
Proportionalityconstant=9liters99kilometers=11kilometers/liter
STEP 5
Now that we have the proportionality constant, we can find the number of kilometers Pamela can drive with12 liters of fuel. This can be done by multiplying the proportionality constant by the number of liters of fuel.
Kilometersdriven=ProportionalityconstanttimesLitersoffuel
STEP 6
Plug in the values for the proportionality constant and liters of fuel to calculate the kilometers driven.
Kilometersdriven=11kilometers/litertimes12liters
SOLUTION
Calculate the kilometers driven.
Kilometersdriven=11kilometers/litertimes12liters=132kilometersamela can drive132 kilometers with12 liters of fuel.
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