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A coffee bean processor can dry 4,815 pounds of coffee beans in 3 hours. Which unit rate correctly reflects the speed of the processor?

A. 1,926 pounds/hour
B. 2,408 pounds/hour
C. 10.13 pounds/minute
D. 26.75 pounds/minute

Respuesta :

natskidokidoki
D because 4,815÷3 hours equals 1,605 pounds per hour, divide that by 60 min to get 26.75 pounds per min

Answer:

D. 26.75 pounds/minute

Step-by-step explanation:

For calculate unit rate that reflects the speed of the processor we can use the following equation:

[tex]Speed = \frac{Total Pounds}{RequiredTime}[/tex]

Taking into account that the answers are in pounds per hour and pounds per minute, we re going to calculate the speeds in booth units.

1. Speed in Pounds per hours: Replacing Total Pounds by 4,815 and Required time by 3 hours, we get:

[tex]Speed = \frac{4,815Pounds}{3 Hours}=1,605 Pounds/hour[/tex]

2. Speed in Pounds per minute: Every hour have 60 minutes, the 3 hours have 180 minutes, so replacing Total Pounds by 4,815 and Required time by 180 minutes, we get:

[tex]Speed = \frac{4,815Pounds}{180 Hours}=26.75 Pounds/hour[/tex]

So, chosen the rate that appear in the answers, we can say that the correct answer is D. 26.75 pounds/hours.

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