So the girl scout troop uses 14 flashlight batteries on a three night camping trip.
Now we will use unitary method that is a process of finding the value for a single unit.
For 3 nights they need 14 flashlight batteries.
For 1 night they will need [tex]\frac{14}{3}[/tex] batteries.
The equation that relates the number of batteries with the number of nights can be written as:
Number of batteries = [tex]\frac{14}{3} \times x[/tex]
Where 'x' is the number of nights.
Now the question says they are planning a seven night trip
Since we know that for 1 night they need [tex]\frac{14}{3}[/tex] batteries.
Therefore, for 7 nights they need:
[tex]7 \times \frac{14}{3} =32.66[/tex]
That implies that they need at least 33 batteries for seven night camping trip.