Question

read the scenario. then, choose the best answers.
marcus wants to convert 25.2 ounces to liters. he knows his conversion factor is 1 oz = 0.029 l

1. choose the best answer.

which train track shows the correct way to set up the problem?
25.2 oz / 1 l
1 / 25.2 oz l
25.2 / 1

Explanation:

Step1: Analyze unit conversion

To convert ounces to liters, we need to multiply the number of ounces by the conversion factor. The conversion factor is \(1\ oz = 0.029\ L\), which can be written as \(\frac{0.029\ L}{1\ oz}\).

Step2: Set up the problem

When setting up the problem, we want the ounces unit to cancel out. So we have \(25.2\ oz\times\frac{0.029\ L}{1\ oz}\). In the train - track (dimensional analysis) setup, we start with \(25.2\ oz\) (the quantity we have). The first fraction should have the unit we want to get rid of (oz) in the denominator. The correct setup is \(\frac{25.2\ oz}{1}\times\frac{0.029\ L}{1\ oz}\). Looking at the given options, the first option \(\frac{25.2\ oz}{1}\times\frac{L}{1}\) (if we assume the second fraction is \(\frac{0.029\ L}{1\ oz}\) in a more simplified train - track view where we focus on unit cancellation) is the one where we start with the amount of ounces we have.

Answer:

The first option \(\frac{25.2\ oz}{1}\times\frac{L}{1}\) (assuming the conversion factor \(\frac{0.029\ L}{1\ oz}\) is implied in the unit - cancellation process) is the correct way to set up the problem for unit conversion.