Question

1. the scale of a model airplane is shown in the graph.

a. find the slope of the line using \\( \frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } } \\).
b. what does the slope mean in the problem situation?

Explanation:

Step1: Identify the coordinates

We have two points \((x_1,y_1)=(3,5)\) and \((x_2,y_2)=(6,10)\)

Step2: Calculate the slope

Using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\), substitute the values:

$$
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$$

Step3: Interpret the slope

The \(x -\)axis represents centimeters (model length) and the \(y -\)axis represents feet (actual length). The slope \(\frac{5}{3}\) means that for every \(3\) centimeters of the model airplane, the actual airplane is \(5\) feet.

Answer:

a. The slope \(m=\frac{5}{3}\)
b. For every \(3\) centimeters of the model airplane, the actual airplane is \(5\) feet.