Chapter 2, Problem 15STP

Interpretation Introduction

Interpretation:

The setup to calculate the slope of graph needs to be shown.

Concept introduction: Visual display of data is defined as a graph. Slope of line in a graph represents the amount that $\text{y}$ increases as $\text{x}$ increases some amount.

Answer to Problem 15STP

The answer is $\text{Slope = }\frac{\text{Change}\text{in}\text{Temperature}}{\text{Change}\text{in}\text{Time}}$

Explanation of Solution

The given graph is:

In this graph, slope is equals to the change in a temperature over the change in a time.

The setup to calculate the slope of the graph is shown below:

$\text{Slope = }\frac{\text{Change}\text{in}\text{Temperature}}{\text{Change}\text{in}\text{Time}}$

$\text{Slope = }\frac{\text{87}°\text{C - 74}°\text{C}}{\text{150 - 120}}$

$\text{Slope = }\frac{13}{30}=0.43°C/s$

The value is confirmed from the equation displayed on graph.

Conclusion

The setup to calculate the slope of a graph is $\text{Slope = }\frac{\text{Change}\text{in}\text{Temperature}}{\text{Change}\text{in}\text{Time}}$