Dominique is buying water. She needs 2 liters. A​ half-liter of water costs ​$2.46. A 250​-milliliter container of water costs ​$1.48. What should Dominique buy so she gets 2 liters at the lowest​ price? Explain.

Answer:

\(\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}\)

Step-by-step explanation:

Dominique wants to buy \(2\) liters of water.

Case 1:

A half-liter of water costs \(2.46\).

The \(2\) half-liters is \(1\) liter => The cost of a liter of water (\(A\)) is calculated by multiply  the cost of \(1\) half-liter by \(2\):

\(A = 2.46\) x \(2\) = \(4.92\)

=> The cost of two liters: \(A_{1}\) = \(A\) x \(2\) = \(4.92\) x \(2\) = \(9.84\) $

Case 2:

A quarter-liter of water costs \(1.48\).

The 4 quarter-liters is \(1\) liter => The cost of a liter of water (\(B\)) is calculated by multiply the cost of \(1\) quarter-liter by \(4\):

\(B = 1.48\) x \(4\) = \(5.92\)

=> The cost of two liters: \(B_{1} = 5.92\) x \(2\) = \(11.84\) $

Compare \(A_{1}\) and \(B_{1}\), the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$\(2.46\)

Hope this helps!

:)

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