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

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) of a linear function passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

We have the points $(x_1,y_1)=(0,20)$ and $(x_2,y_2)=(10,70)$.

Step3: Calculate the rate of change

$m=\frac{70 - 20}{10 - 0}=\frac{50}{10}=5$.

Answer:

5