Question

. home economics enrique is baking muffins and bread. he wants to bake a total of 10 batches. each batch of muffins bakes for 30 minutes, and each batch of bread bakes for 50 minutes. let m represent the number of batches of muffins. a. write an expression for the total time required to bake a combination of muffins and bread if each batch is baked separately. b. if enrique makes 2 batches of muffins, how long will it take to bake all 10 batches?

Answer 1

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.