QuestionHow many kilometers $(k)$ can Pamela drive with 12 liters of fuel if she drove 99 km using 9 liters?

Studdy Solution

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. $Proportionality\, constant = \frac{Kilometers\, driven}{Liters\, of\, fuel\, used}$

STEP 3

Now, plug in the given values for kilometers driven and liters of fuel used to calculate the proportionality constant.
$Proportionality\, constant = \frac{99\, kilometers}{9\, liters}$

STEP 4

Calculate the proportionality constant.
$Proportionality\, constant = \frac{99\, kilometers}{9\, liters} =11\, kilometers/liter$

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.
$Kilometers\, driven = Proportionality\, constant \\times Liters\, of\, fuel$

STEP 6

Plug in the values for the proportionality constant and liters of fuel to calculate the kilometers driven.
$Kilometers\, driven =11\, kilometers/liter \\times12\, liters$

STEP 7

Calculate the kilometers driven.
$Kilometers\, driven =11\, kilometers/liter \\times12\, liters =132\, kilometers$ amela can drive132 kilometers with12 liters of fuel.

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