Solve.
-It takes 17 minutes to set up a candy making machine. Once the machine is set up, it produces 12 candies per minute. Use an inequality to find the number of candies that can be produced in 7 hours if the machine has not
Yet been set up.
A)at most 84 candies
B)at most 6936 candies
C)at most 4836 candies
D)at most 1428 candies

Question

Quizplus · Accepted Answer

We know that it takes 17 minutes to set up the machine, so we need to subtract that from the 420 minutes (7 hours) of production time.

420 - 17 = 403 minutes of production time

Next, we can multiply the production rate (12 candies per minute) by the total minutes of production time to get the maximum number of candies that can be produced:

12 candies/minute x 403 minutes = 4836 candies

Therefore, the best choice is C, which is "at most 4836 candies." First, we need to convert 7 hours to minutes:

7 hours x 60 minutes/hour = 420 minutes

Then, we can use the inequality:

candies produced ≤ (total time available - time to set up machine) x candies produced per minute

candies produced ≤ (420 - 17) x 12 
candies produced ≤ 4836

Therefore, the maximum number of candies that can be produced in 7 hours without setting up the machine beforehand is 4836 candies. Choice C is the best option.

Solve. -It Takes 17 Minutes to Set Up a Candy Making