Question

amina opens a savings account. she starts her savings account with 20 dollars she got as a gift for her birthday. each week she adds 15 dollars to her account. this graph represents the amount in the account, y, after x weeks. what is the slope of the line? keep in mind, slope is the change in vertical distance for a given change in horizontal distance, or \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\). you can use the points below to help you find the change in horizontal and vertical distance from one point to the other. slope = \\(\square\\)

Explanation:

Step1: Identify two points

Use points $(3, 65)$ and $(4, 80)$

Step2: Calculate vertical change

$\Delta y = 80 - 65 = 15$

Step3: Calculate horizontal change

$\Delta x = 4 - 3 = 1$

Step4: Compute slope

Slope = $\frac{\Delta y}{\Delta x} = \frac{15}{1}$

Answer:

15