Question

what three points are identified on the graph? what is the unit rate? what does it mean in terms of the situation?

Explanation:

Step1: Identify points on the graph

A point on a graph is represented as \((x,y)\). Looking at the graph:

• When \(x = 2\), \(y=0.80\), so the point is \((2,0.80)\)
• When \(x = 3\), \(y = 1.20\), so the point is \((3,1.20)\)
• When \(x = 5\), \(y=2.00\), so the point is \((5,2.00)\)

Step2: Calculate the unit rate

The unit rate (slope \(m\)) is calculated using the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using the points \((2,0.80)\) and \((3,1.20)\):

$$m=\frac{1.20 - 0.80}{3 - 2}=\frac{0.40}{1}=0.40$$

In terms of the situation, the unit rate of \(0.40\) means that each seashell costs \(0.40\) dollars.

Answer:

• The three points are \((2,0.80)\), \((3,1.20)\), \((5,2.00)\)
• The unit rate is \(0.40\) dollars per seashell. It means that for each seashell, the cost is \(0.40\) dollars.