The temperature, in degrees Fahrenheit, of a liquid that is increasing can be represented by the equation *f*(*t*) = 64 + 3*t* , where *t* is the time in hours. Graph the function to show the temperatures over the first 10 hours. Use the graph to find the temperature after 1 hours.

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*f*(*t*) = 64 + 3*t*

The temperature after 1 hours is about

°

F.

The temperature of the liquid after 1 hour is **67°F** based on the graph of the function \( f(t) = 64 + 3t \).

Do you want more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What would the temperature be after 5 hours?
2. How would the graph change if the equation was \( f(t) = 64 + 2t \)?
3. What does the slope of 3 represent in the context of this problem?
4. How much does the temperature increase per hour based on the function?
5. Can you calculate the time when the temperature will reach 100°F?

**Tip:** The slope of a linear equation tells you how fast the value is increasing or decreasing.

The temperature, in degrees Fahrenheit, of a liquid that is increasing can be represented by the equation f(t) = 64 + 3t, where t is the time in hours. Graph the function to show the temperatures over the first 10 hours. Use the graph to find the temperature after 1 hour.

Explore how to graph the linear function f(t) = 64 + 3t, which represents the temperature of a liquid increasing over time. Learn how to determine the temperature after 1 hour using the graph, and understand the role of the slope in this context. Suitable for students in Grades 6-8.

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