Respuesta :
Proportion is a method to compare the ratio of the two quantities of the same units. Using the proportion we can compare the part of a whole of a number with other part of the whole. The all ratios are equal to the 1/225 hence the number of supply lasts proportional to the number of liters of water the elephant drinks.
Given-
An adult elephant drinks about 225 liters of water each day. To know the number of days the water supply lasts proportional or not to the number of liters of water the elephant drinks, we need to know about the proportion.
What is proportion?
Proportion is a method to compare the ratio of the two quantities of the same units. Using the proportion we can compare the part of a whole of a number with other part of the whole.
As the adult elephant drinks about 225 liters of water each day. Thus the ratio (let [tex]r_1[/tex]) of one day to the liter of water drink is,
[tex]r_1=\dfrac{1}{225}[/tex]
For the two days he drinks the two times the 225 liters of water. Thus the ratio (let [tex]r_2[/tex]) of two days to the liter of water drink is,
[tex]r_2=\dfrac{2}{225\times2}[/tex]
[tex]r_2=\dfrac{2}{450}[/tex]
[tex]r_2=\dfrac{1}{225}[/tex]
Now for the three days he drinks the three times the 225 liters of water. Thus the ratio (let [tex]r_3[/tex]) of three days to the liter of water drink is,
[tex]r_3=\dfrac{3}{225\times3}[/tex]
[tex]r_3=\dfrac{3}{675}[/tex]
[tex]r_3=\dfrac{1}{225}[/tex]
Compare all the three ratios, we get,
[tex]r_1=r_2=r_3[/tex]
As the all ratios are equal to the 1/225 hence the number of supply lasts proportional to the number of liters of water the elephant drinks.
Learn more about the proportion here;
https://brainly.com/question/2548537
