Jada told Noah that she has $2 worth of quarters and dimes in her pocket and 17 coins all together. She asked him to guess how many of each type of coin she has.

1. Here is a table that shows some combinations of quarters and dimes that are worth $2. Complete the table.

   number of quarters	number of dimes
   0	20
   4
   	0
   	5

2. Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

   1. What does Point represent?
   2. How much money, in dollars, is the combination represented by Point worth?

   

   <p>Graph of points in the x y plane, origin O, with grid. Horizontal axis, number of quarters, scale 0 to 24 by 1s. Vertical axis, number of dimes, scale 0 to 24 by 1s. Points plotted are 0 comma 17, 1 comma 16, 2 comma 15, 3 comma 14, 4 comma 13, 5 comma 12, 6 comma 11, 7 comma 10, 8 comma 9 labeled A, 9 comma 8, 10 comma 7, 11 comma 6, 12 comma 5, 13 comma 4, 14 comma 3, 15 comma 2, 16 comma 1, and 17 comma 0.</p>

3. Is it possible for Jada to have 4 quarters and 13 dimes in her pocket? Explain how you know.
4. How many quarters and dimes must Jada have? Explain your reasoning.

Clare and Andre are making signs for all the lockers as part of the decorations for the upcoming spirit week. Yesterday, Andre made 15 signs and Clare made 5 signs. Today, they need to make more signs. Each person's progress today is shown in the coordinate plane.

<p>Graph of two lines in the x y plane, origin 0, with grid. Horizontal axis, time in minutes, scale 0 to 110, by 5s. Vertical axis, number of completed signs, scale 0 to 70 by 5s. A line crosses the y axis at 5 and passes through the points A and B. Another line crosses the y axis at 15 and passes through the points C and A. Starting at the origin, point A is 8 unit to the right and 5 units up. Starting at the origin, point B is 15 units to the right and 8 point 5 units up. Starting at the origin, point C is 0 units to the right, and 3 units up. Starting at the origin, point D is 20 units to the right and 12 units up.</p>  

1. Which line represents Andre and which represents Clare?
2. Based on the lines, mark the statements as true or false for each person.