Answer:
Part 1) The rate of change is the amount of money saved by week
Part 2) The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.
Part 3) see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
<u><em>The complete question is</em></u>
Part 1) What does the rate of change in the example represent?
Part 2) What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?
Part 3) Write ordered pairs for the initial values of each function. Tell what the initial values represent
Part 1) we know that
The rate of change is the slope or unit rate of the linear equation
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this context the rate of change is the amount of money saved by week
Part 2) we know that
Alyssa’s rate of change is equal to $8 per week
Sarah’s rate of change is equal to $6 per week
That means ----> The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.
Part 3) we know that
The initial value or y-intercept is the value of y when the value of x is equal to zero
In this context , the initial value is the amount of money available at the time of beginning to save
so
<em>Sarah's Savings</em>
Looking at the graph
The initial value is the point (0,8)
That means ----> At the beginning (x=0), Sarah already had $8 saved.
<em>Alyssa's Savings</em>
Looking at the graph
The initial value is the point (0,0)
That means ----> At the begin (x=0), Alyssa had nothing saved.
