Question

There are 33.8 fluid ounces in a liter. There are 128 fluid ounces in a gallon. How many litersthere are roughly in a gallon?to. 2b. 3C. 4d. 5Is your estimate greater or less than the exact number of liters in a gallon? Explainhow do you know.

Answer 1

Answer

Option C is correct.

There are roughly 4 liters in 1 gallon

And the estimate (4 liters in 1 gallon) is greaster then the exact number of liters in a gallon (3.79 liters in 1 gallon).

Explanation

We are given some parameters

33.8 fluid ounces = 1 liter

128 fluid ounces = 1 gallon

We are then told to find the amount of liters that are roughly in a gallon.

To do this, we will put the parameters that are equivalent as fractions on each other

$\begin{gathered} \frac{33.8\text{ fluid ounces}}{1\text{ liter}}=1 \\ \frac{128\text{ fluid ounces}}{1\text{ gallon}}=1 \end{gathered}$

We can write the first relation as an inverse and we will still have the same thing

$\begin{gathered} \frac{1\text{ liter}}{33.8\text{ fluid ounces}}=1 \\ \frac{128\text{ fluid ounces}}{1\text{ gallon}}=1 \\ \text{ Since, 1 }\times1=1 \\ We\text{ can find the relation betw}een\text{ liter and gallon by saying} \\ \frac{1\text{ liter}}{33.8\text{ fluid ounces}}\times\frac{128\text{ fluid ounces}}{1\text{ gallon}} \\ \frac{128}{33.8}\frac{\text{liter}}{\text{gallon}} \\ =\frac{3.79\text{ liters}}{1\text{ gallon}} \end{gathered}$

3.79 liters = 1 gallon

A right approximation will be that

1 gallon = 4 liters

We can then see that the estimate is greater than the exact number of liters in a gallon.

Hope this Helps!!!