Answer:
Explanation:
Let's denote the number of batches of muffins as m. The total time required to bake m batches of muffins would be 30 minutes per batch, so the time required for the muffins would be 30m minutes.
Similarly, the total time required to bake the remaining (10 - m) batches of bread would be 50 minutes per batch, so the time required for the bread would be 50(10 - m) minutes.
Therefore, the expression for the total time required to bake a combination of muffins and bread if each batch is baked separately would be 30m + 50(10 - m) minutes.
b. If Enrique makes 2 batches of muffins, we need to find how long it will take to bake all 10 batches.
Using the expression we derived in part a, substitute m with 2 (since Enrique is making 2 batches of muffins) to find the total time required:
30m + 50(10 - m)
= 30(2) + 50(10 - 2)
= 60 + 50(8)
= 60 + 400
= 460 minutes.
Therefore, if Enrique makes 2 batches of muffins, it will take 460 minutes to bake all 10 batches.