Question

Jasmine is making cookies for a bake sale. As of noon, she had already been making cookies for 30 minutes. She can spend no more than 5 hours total making cookies. Each batch of cookies she makes takes 10 minutes. If x represents the number of batches she makes after noon, which of the following inequalities symbolizes the situation?
A.
30 + 10x ≤ 300
B.
10 + 30x < 300
C.
30 + 10x < 300
D.
10 + 30x ≤ 300

Answer 1

As the problem states, x is the # of batches.

If each batch takes 10 minutes, then it takes 10*x minutes to make x batches.

She has already spent 30 minutes, so you would add 30 + 10x to get the time spent so far.

She can spend *no more* than 5 hours. So her total time spend must be less than or equal to 5 hours. Since we’re in minutes, convert 5 hours to minutes to keep our units consistent. Finally, with all this in mind, write the inequality.