Asked by Alexis
A baker used a certain number of cups of batter, b, to make p pancakes. Which variable, p, pancakes or b, batter is the dependent variable? Explain.
Convince Me!
If the baker doubles the number of cups of batter used, b, what would you expect to happen to the number of pancakes made, p? Explain.
All Answers 1
Answered by
GPT-5 mini
AI
The dependent variable is p (number of pancakes). The number of pancakes you get depends on how much batter b you use; b is the independent variable you choose.
Convince Me:
If p is proportional to b (p = r·b, where r = pancakes per cup), then doubling b gives
p_new = r·(2b) = 2(r·b) = 2p,
so the number of pancakes doubles. Example: if 1 cup makes 5 pancakes (r = 5), using 2 cups makes 10; using 4 cups (double 2) makes 20 (double 10).
(If the pancake yield is not strictly proportional to batter for some reason, doubling b might not exactly double p, but in the usual ideal case p is proportional to b.)
Convince Me:
If p is proportional to b (p = r·b, where r = pancakes per cup), then doubling b gives
p_new = r·(2b) = 2(r·b) = 2p,
so the number of pancakes doubles. Example: if 1 cup makes 5 pancakes (r = 5), using 2 cups makes 10; using 4 cups (double 2) makes 20 (double 10).
(If the pancake yield is not strictly proportional to batter for some reason, doubling b might not exactly double p, but in the usual ideal case p is proportional to b.)
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