Each figure is composed of one or more large squares and some small squares. The side length of the large square is \(x\). Write an expression for the area of the shaded part of each figure.

 

Here are a few pairs of positive numbers whose difference is 5.

1. Find the product of each pair of numbers. Then, plot some points to show the relationship between the first number and the product.

   first number	second number	product
   1	6
   2	7
   3	8
   5	10
   7	12

   

2. Is the relationship between the first number and the product exponential? Explain how you know.

Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and finds that she has taken out less than \$2.00 total.

1. Write a system of inequalities that represents the number of quarters, \(q\), and the number of dimes, \(d\), that Mai could have taken out of the jar.

2. Is it possible that Mai has each of these combinations of coins? If so, explain or show how you know. If not, state which constraint—the amount of money or the number of coins—it does not meet.

   1. 3 quarters and 12 dimes
   2. 4 quarters and 10 dimes
   3. 2 quarters and 5 dimes

A stadium can seat 63,026 people. For each game, the amount of money that the organization brings in through ticket sales is a function of the number of people, \(n\), in attendance.

If each ticket costs \$30.00, find the domain and range of this function.