standard_description: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
problem_activity: Task
Materials
Coins and dollar bills
Problem with table of costs displayed
| Stuffed Animals at the Pet Shop |             Cost for each animal              |
|---------------------------------|-----------------------------------------------|
|               Dog               |      2 pennies, 3 nickels, and 1 quarter      |
|              Snake              |       6 pennies, 2 nickels, and 2 dimes       |
|              Bird               |       5 nickels, 3 dimes, and 1 quarter       |
|               Cat               | 5 pennies, 5 nickels, 5 dimes, and 1 quarter  |
|             Rabbit              | 7 pennies, 3 nickels, 2 dimes, and 3 quarters |
|              Frog               |        5 pennies, 5 dimes, 5 quarters         |
|             Monkey              |       3 pennies, 3 nickels, 3 quarters        |
How much money would you spend if you purchased one of each animal at the pet shop?
If you have \$3 to spend at the pet shop, what animals would you buy?
What two animals could you buy if you have \$2 to spend? How much change will you get back?
How much money would you spend if you purchased the dog, snake, and the bird?
Make up a problem for your partner to solve.


aligns: no