Question

vanessa 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. initial value: 10 is the rate of change positive or negative? positive negative number of weeks, x amount saved, y 0 10 1 15 2 20 3 25

Explanation:

Step1: Calculate the rate of change

The formula for the rate of change (slope) \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((x_1,y_1)=(0,10)\) and \((x_2,y_2)=(1,15)\). Then \(m=\frac{15 - 10}{1-0}=\frac{5}{1}=5\).

Step2: Analyze the sign of the rate of change

Since \(m = 5>0\), the rate of change is positive.

Answer:

positive