Question 28

Question 28 Three students saved money for four weeks. Identify the student who save the greatest amount of money each week and the student who saved the least amount of money each week. The students should have a calculator for this one. This slide is the basic question for the problem. Each following slide will be broken down to compare who is saving more money and how to find out. The final slide will be the page that shows the answer. What is being asked is for the students to find the rate of change (slope) for each problem. Once you do that, you can see who is saving the most amount of money and who is saving the least amount of money.

Question 28 Antwan saved the same amount of money each week for 4 weeks. He made this graph to show how much money he saved. Rise Run 4 2 2 2 What needs to be done for Antwan is finding out how much money he saved over 4 weeks. In order to do that, you need to find the slope of the line. The easiest way to do this is to see how much it is increasing (going up vertically) over how much it is going up in weeks (horizontally). Instead of using the slope formula, I just counted on the graph to find the slope of how much money he is saving per week. The dot on the page is the first point where the line crosses the corner of a grid mark in the back. You need to look for that point in order to see how high you need to go up. Now, you can find the slope of the line. First, you start with how much it increases. It goes up 4 dollars. Then, it goes over 2 to get to the dot. You then simplify this, you get that Antwan saved 2 dollars a week. Antwan saved $2 a week 4

Question 28 Carla saved the same amount of money each week for 4 weeks. She made this table to show how much money she saved. y2 – y1 x2 – x1 7.00 – 1.75 4 – 1 For this problem, the students need to get the rate of change from the table. In order to do this, the students need find the different in the total amount of money saved over the weeks saved. I used the slope formula in order to find out how much money was saved. The formula is: m = y2 – y1 / x2 – x1 . I chose the first week and the last week. The students can choose any weeks, it won’t matter because she is saving the same amount each week. The first thing I did was write the formula I was going to use. And then, I circled two points I am going to use to find the slope. Y is the total amount of money saved and X is the number of weeks. The students need to make sure they are placing in the correct order. Whatever number they choose for Y should be the corresponding X underneath it. When I do this, I got: 7 – 1.75 / 4 – 1. The next thing you need to do is simplify the equation. 7 – 1.75 is 5.25 and 4 – 1 is 3. We then simplify that one more time and divide 5.25 by 3, getting 1.75 This means that Carla saved 1.75 dollars each week. 5.25 3 = 1.75 Carla saved $1.75 each week

Question 28 Omar saved the same amount of money each week for 4 weeks. He wrote the equation below to show how much he saved. In the equation, S is the total amount of money saved, in dollars, and w is the number of weeks. S = 2.5w This one no work needs to be done for the problem. You can clearly see that Omar saved 2.5 dollars per week because that is the slope. The students, however, would need to recognize that the slope is the piece of information that gives them how much Omar saved per week. Omar saved $2.50 a week.

Question 28 Identify the student who saved the greatest amount of money each week and the student who saved the least amount of money each week. ________ Student who saved the greatest amount of money each week ________ Student who saved the least amount of money each week Omar At this point, the students need to recap what each student saved. Antwan saved $2 a week; Carla saved $1.75 a week; Omar saved $2.50 a week. When you look at this, you can see that Omar saved the most and Carla saved the least. Carla