Question

now, find the slope, or the change in vertical distance for a given change in horizontal distance. in other words, by how much does the total cost change every time you buy 1 toy? the graph has x - axis labeled number of toys (from 0 to 10) and y - axis labeled total cost (from 0 to 50). points (2,20) and (4,30) are on the line. the vertical distance between (2,20) and (4,30) is 10, and the horizontal distance is 2. the formula for slope is slope = \frac{vertical distance}{horizontal distance}, and we need to find the value.

Explanation:

Step1: Identify vertical/horizontal change

From points (2,20) to (4,30):
Vertical change: $30 - 20 = 10$
Horizontal change: $4 - 2 = 2$

Step2: Calculate slope via formula

$\text{Slope} = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{10}{2}$

Step3: Simplify the fraction

$\frac{10}{2} = 5$

Answer:

5