What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?

Answer:Part 1) The rate of change is the amount of money saved by weekPart 2) The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.Part 3) see the explanationStep-by-step explanation:see the attached figure to better understand the problemThe complete question isPart 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 representPart 1) we know thatThe rate of change is the slope or unit rate of the linear equationThe 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 weekPart 2) we know thatAlyssa’s rate of change is equal to $8 per weekSarah’s rate of change is equal to $6 per weekThat means ----> The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.Part 3) we know thatThe initial value or y-intercept is the value of y when the value of x is equal to zeroIn this context , the initial value is the amount of money available at the time of beginning to savesoSarah's SavingsLooking at the graphThe initial value is the point (0,8)That means ----> At the beginning (x=0), Sarah already had $8 saved.Alyssa's SavingsLooking at the graphThe initial value is the point (0,0)That means ----> At the begin (x=0), Alyssa had nothing saved.