Tables, Equations, and Graphs
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Tables, Equations, and Graphs
📊 Part 1: Investigating Tables and Patterns
Table A:
x: 0, 1, 2, 3, 4
y: 2, 5, 8, 11, 14
a) What happens to the y-values as x increases by 1?
b) What is the constant rate of change (gradient)?
c) What is the y-value when x = 0 (y-intercept)?
x: 0, 1, 2, 3, 4
y: ___, ___, ___, ___, ___
📝 Part 2: From Tables to Equations
Show your working:
Final equation: y = _______________
📈 Part 3: Graphing Linear Equations
a) Gradient (m): ___________
b) Y-intercept (c): ___________
c) Where does the line cross the y-axis? ___________
🔗 Part 4: Connecting Tables, Equations, and Graphs
a) Complete this table for the total cost:
Distance (km): 0, 1, 2, 3, 4
Total cost ($): ___, ___, ___, ___, ___
b) Write the equation where y = total cost and x = distance:
c) What does the gradient represent in this situation?
d) What does the y-intercept represent?
🎯 Part 5: Challenge Questions
a) Choose values for m (gradient) and c (y-intercept):
m = _______ c = _______
b) Write your equation: y = _______________
c) Create a table of values for x = 0, 1, 2, 3:
d) Sketch your graph below:
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