If a biotechnologist can produce 500 liters of a culture in 10 hours, how many l

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Question: If a biotechnologist can produce 500 liters of a culture in 10 hours, how many liters can they produce in 25 hours at the same rate?

Options:

Correct Answer: 1250 liters

Solution:

Rate of production = 500 liters / 10 hours = 50 liters/hour. In 25 hours, production = 50 liters/hour * 25 hours = 1250 liters.

If a biotechnologist can produce 500 liters of a culture in 10 hours, how many liters can they produce in 25 hours at the same rate?

If a biotechnologist can produce 500 liters of a culture in 10 hours, how many liters can they produce in 25 hours at the same rate?

Step 1: Determine the rate of production by dividing the total liters produced by the total hours taken. Here, it is 500 liters divided by 10 hours.
Step 2: Calculate the rate of production: 500 liters / 10 hours = 50 liters per hour.
Step 3: Now, to find out how many liters can be produced in 25 hours, multiply the rate of production (50 liters/hour) by the number of hours (25 hours).
Step 4: Perform the multiplication: 50 liters/hour * 25 hours = 1250 liters.
Step 5: The final answer is that the biotechnologist can produce 1250 liters in 25 hours.

Rate of Production – Understanding how to calculate the rate of production from given quantities and time.
Proportionality – Applying proportional reasoning to extend the rate of production over a different time period.