Question

tajiri opens a savings account. each week he adds the same amount of money to his account. the graph represents the amount in his bank account, y, after x weeks. now that you’ve found the change in horizontal and vertical distance from (2, 30) to (4, 60), find the slope of the line. remember, the slope is the change in vertical distance for a given change in horizontal distance. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) = \\(\square\\)

Explanation:

Step1: Identify vertical distance change

The vertical change is $60 - 30 = 30$

Step2: Identify horizontal distance change

The horizontal change is $4 - 2 = 2$

Step3: Calculate slope via ratio

$\text{Slope} = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{30}{2}$

Step4: Simplify the fraction

$\frac{30}{2} = 15$

Answer:

15