How to Solve an Equation from a Word Problem Involving the Square Root

The video tutorial explains how to determine the time it takes for a liquid to reach a certain temperature using the formula T = 8√T. It begins by identifying the variables involved: T for temperature in Celsius and t for time in minutes. The tutorial then guides viewers through solving the equation for time when the temperature is given as 48 degrees Celsius. The process involves dividing by 8 and squaring both sides to isolate t. The solution is explained with assumptions, concluding that the time is 36 minutes.

What does the variable 'big T' represent in the formula T = 8√T?

• Time in minutes

• Temperature in Celsius

• Temperature in Fahrenheit

• Time in seconds

How do you begin solving the equation 48 = 8√T for T?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 8

• Multiply both sides by 8

After dividing by 8, what is the next step to solve for T in the equation 48 = 8√T?

• Square both sides

• Subtract 8 from both sides

• Multiply both sides by 8

• Take the square root of both sides

What is the calculated time in minutes when the temperature is 48 degrees Celsius?

• 64 minutes

• 36 minutes

• 48 minutes

• 24 minutes

Why might certain values not be possible in the context of this problem?

• Because the formula only works for even numbers

• Because the square root function is undefined for negative numbers

• Because temperature cannot exceed 100 degrees

• Because time cannot be negative