Consider a rectangle with base 2 cm and height 1 cm. a. Imagine stretching the base by

Chapter 11, Problem 12

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Consider a rectangle with base 2 cm and height 1 cm. a. Imagine stretching the base by multiplying it by scale factor x, without changing the height. Make a table of the area of the rectangle for values of x from 1 to 6. Plot the points on a graph and write the function a(x) that gives the area as a function of x. b. Now imagine stretching both the base and the height by multiplying them by scale factor x. As before, make a table of the new area of the rectangle for values of x from 1 to 6, plot the points, and write the function A(x) that gives the new area as a function of x. c. How do the equations for a(x) and A(x) differ? How do their graphs differ?

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