Worksheet 1: Comparing Functions by Slope-Intercept form, Graphs, and TablesDetermine and explain which function has the greater rate of change.

1) Function 1: 16x + y = 12Function 2:

2) Function 1: y + 12 = 13xFunction 2:

3) Function 1: 10 + y = -3xFunction 2:

4) Function 1: 3x – y = -5Function 2:

5) Function 1: -y + 12 = xFunction 2:

6) Function 1: 15 – y = 2xFunction 2:

7) Function 1: 16x + 4y = 12 Function 2:

Worksheet 2: Comparing Functions by Slope-Intercept form, Graphs, and TablesDetermine and explain which function has the greater rate of change.

1) Function 1: 16x +2y = 12Function 2:

2) Function 1: 2y + 12 = 10xFunction 2:

3) Function 1: 9 + 3y = -3xFunction 2:

4) Function 1: 12x –4y = -16Function 2:

5) Function 1: -2y + 12 = 2xFunction 2:

6) Function 1: 15 – 5y = 20xFunction 2:

7) Function 1: 16x + 4y = 12Function 2:

Comparing Functions Word Problems1) Dora opened a savings account and deposited $50. When she gets her paycheck each week, Dora will put

$25 into the savings account. a) Describe the initial value and rate of change for this situation. b) Write the equation that best describes this situation.

2) A biologist studied the growth of two different trees over a five-year period. At the beginning of the study, she measured each tree’s diameter. The biologist took the same measurement each year to determine the growth. The red maple in her study had a starting diameter of 4 inches. The diameter grew at an average rate of 0.3 inches per year. a) Which function has a greater rate of change? Explain.b) What does the rate of change mean in the context of this

problem? c) Which tree had a larger diameter when the biologist started

measuring? Explain.

3) Mrs. White buys a used car for 3,000. She makes monthly payments of $300 until the car is paid for.Mr. Brown also buys a used car. His monthly payment plan is shown in the table.

a) What is the initial value for each function? What do these initial values mean in context to this problem?b) Write the equation for both functions above, where x = number of months and y = amount of money

owed. c) Does it take the same time finishing paying for the car for both plans? Show your work and explain.

4) Roy wants to buy a new wireless phone for $200. Two stores offer different payment options. a) Write an equation that represents the different Payment Plans.b) Which plan has a greater initial value? Which plan has a greater rate of change? Show your work and

explain.

5) The equation and table show what two boys pay for gym fees. a) Write an equation the represents the gym fees.b) Which has the greater rate of change? Which has the greater initial value? Explain.