Question
If the debate team plans to practice for 6 hours, how many debates should they win?
- 20
- 16
- 22
- 28
Hint:
Find the slope intercept equation of the graph.
The correct answer is: 22
Take any point on the graph, (x1, y1) = (1, 4) and (x₂, y₂) = (5, 18).
Step 1: Find the slope of the function using the slope formula:
m = (y₂ - y1) / (x₂ - x1) = (18 - 4) / (5 - 1) = 14/4 = 7/2.
Step 2: Find the equation of linear function using the point slope form.
y - y1 = m (x - x1)
y - 4 = 7/2 (x - 1)
y - 4 = 7/2 (x - 1)
The given points are (x1, y1) = (0, 6) and (x₂, y₂) = (8, 2).
Step 1: Find the slope of the function using the slope formula:
m = (y₂ - y1) / (x₂ - x1) = (2 - 6) / (8 - 0) = -4/8 = -1/2.
Step 2: Find the equation of linear function using the point slope form.
y - y1 = m (x - x1)
y - 6 = -1/2 (x - 0)
y - 6 = -1/2 (x)
y = -1/2(x) + 6
Therefore, the equation of the linear function is, y = -1/2(x) + 6.
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Percent is referred as per hundred which means the ratio of given number and 100. Percent can be calculated by using the formula 
.
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Conclusion of the data given in the table can be derived from the information provided in the table.
