Linear equation word problems

TL;DR

The temperature in Quinn's home increased by 0.4 degrees Celsius per minute, starting from 15 degrees Celsius.

Transcript

• [Instructor] When Quinn returned from vacation, he turned the heat back on in his home. He set the temperature as high as it could go. Q represents the temperature in Quinn's home in degrees Celsius after t minutes. This Q is equal to 15 plus 0.4t. What was the temperature when Quinn returned from vacation? So pause this video and see if you can ... Read More

Key Insights

• 👪 The temperature in Quinn's home increased by 0.4 degrees Celsius per minute.
• ❓ The initial temperature was 15 degrees Celsius.
• ⌛ The temperature increased linearly with time, following the equation Q = 15 + 0.4t.
• ☠️ The slope of the equation represents the rate of temperature increase per minute.
• 😀 The y-intercept of the equation, 15 degrees Celsius, indicates the starting temperature.
• ❓ After 20 minutes, the temperature increased by 8 degrees Celsius.
• ⌛ The increase in temperature can be calculated by multiplying the time (in minutes) by 0.4.

Questions & Answers

Q: What does the variable "t" represent in the equation?

The variable "t" represents the time in minutes elapsed since Quinn returned from vacation.

Q: What is the formula for calculating the temperature in Quinn's home?

The formula is Q = 15 + 0.4t, where Q represents the temperature in degrees Celsius and t represents the time in minutes elapsed.

Q: How can the increase in temperature per minute be calculated?

The increase in temperature per minute is 0.4 degrees Celsius, as indicated by the coefficient of "t" in the equation.

Q: How much did the temperature increase after 20 minutes?

The temperature increased by 8 degrees Celsius after 20 minutes.

Summary & Key Takeaways

• Quinn set the temperature in his home to increase by 0.4 degrees Celsius per minute.

• The initial temperature when Quinn returned from vacation was 15 degrees Celsius.

• The temperature increased by 0.4 degrees Celsius for every one minute passed.