How many small squares will there be in each of these steps?[br]
Write an equation to represent the relationship between the step number, [math]n[/math], and the number of small squares, [math]y[/math], in each step.[br]
Explain how your equation relates to the pattern.[br]
[img]data:image/png;base64,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[/img][br][br]Which expression represents the relationship between the step number n and the total number of small squares in the pattern?
[size=150]The side length of the large square is [math]x[/math]. [/size][br][br][table][tr][td]Figure A[/td][td]Figure B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Write an expression for the area of the shaded part of Figure A.[br]
Write an expression for the area of the shaded part of Figure B.
Is the relationship between the first number and the product exponential? Explain how you know.[br]
What do you notice about the areas?
Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.[br]
Do the values change in a linear way? Do they change in an exponential way?
[img]data:image/png;base64,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[/img]
How many dots will there be in Step 10?[br]
How many dots will there be in Step [math]n[/math]?[br]
Write a system of inequalities that represents the number of quarters, [math]q[/math], and the number of dimes, [math]d[/math], that Mai could have.[br]
Is it possible that Mai has each of the following 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.[br][br][list][*]3 quarters and 12 dimes[br][/*][/list]
[list][*]4 quarters and 10 dimes[br][/*][/list]
[list][*]2 quarters and 5 dimes[br][/*][/list]
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, [math]n[/math], in attendance.[br][br]If each ticket costs $30.00, find the domain and range of this function.