Question

journee opens a new savings account. she makes an initial deposit, and then deposits the same amount each week. the total number of dollars in the account, y, is a function of the number of weeks, x. the graph of the function passes through the points (0,20) and (10,70). describe the initial value of the function. the initial value is 20. it represents journees initial deposit. describe the rate of change of the function. the rate of change is 5. journee deposits $5 each week. write an equation to represent the total number of dollars in the account, y. y = x +?

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (initial value).

Step2: Identify values

We know the rate of change $m = 5$ (the amount deposited each week) and the initial value $b=20$ (the initial deposit).

Answer:

$y = 5x+20$