answer these questions

Question

Challenge.

Order the steps 1 - 3 to convert from gallons to cups.

What is 850 gallons (gal) to cups (c)? Let x = number of cups (c).

Question 4 options:

Find cups (c) that equals 1 gallon (gal). The unit ratio.

Set up the proportion.

Cross multiply and solve for x.

Question 5 (2 points)
If 1 inch = 2.54 cm.

then, 1 cm. = x inches

Choose the 2 ways to solve for x.

Question 5 options:

Answer 1

Challenge: Order the Steps to Convert Gallons to Cups

To convert from gallons to cups, you can follow these ordered steps:

1. Find cups (c) that equals 1 gallon (gal). The unit ratio.
   (1 gallon = 16 cups)

2. Set up the proportion.
   (If 1 gallon = 16 cups, then 850 gallons = x cups)

3. Cross multiply and solve for x.
   (Cross-multiplication will give you x = 850 * 16)

So the correct order is: 1, 2, 3.

Question 5: Find x when 1 cm = x inches

Given the conversion factor:

• \( 1 , \text{inch} = 2.54 , \text{cm} \)

You can find \( x \) in two ways:

1. Algebraically:
   Rearrange the equation to isolate \( x \).
   \[ 1 , \text{inch} = 2.54 , \text{cm} \implies 1 , \text{cm} = \frac{1}{2.54} , \text{inches} \]

2. Using ratios:
   Set up a ratio based on the known conversions:
   \[ \frac{1 , \text{cm}}{x , \text{inches}} = \frac{1 , \text{inch}}{2.54 , \text{cm}} \]

These two methods allow you to solve for x.