How many tablespoons are in a cup of fluid? Conversion factors: 2 tbs = 1 oz, and 8 oz = 1 cup. Show all work using dimensional analysis
First, we need to convert the cup to ounces.
1 cup * 8 oz/1 cup = 8 oz
Now, we can convert ounces to tablespoons.
8 oz * 2 tbs/1 oz = 16 tbs
Therefore, there are 16 tablespoons in a cup of fluid.
To convert cups to tablespoons using dimensional analysis, we need to use the given conversion factors:
1 cup = 8 ounces
1 tablespoon = 1/2 ounce (since 2 tablespoons = 1 ounce)
We'll set up the conversion using these factors:
(1 cup) x (8 ounces/1 cup) x (2 tablespoons/1 ounce)
Now, let's cancel out the units:
(1 cup) x (8 ounces/1 cup) x (2 tablespoons/1 ounce)
= (1 cup * 8 ounces * 2 tablespoons) / (1 cup * 1 ounce)
Cancelling out the units, we get:
= 8 tablespoons
Therefore, there are 8 tablespoons in 1 cup of fluid.