Concept explainers
The table below shows the relationship between the number of teachers and the number of students going on a field trip. How can the relationship be described using words, an equation, and a graph?
To find: The relationship equation that express the relationship between teacher and students and then then graph the equation.
Answer to Problem 5STP
The equation that express the relationship between teacher and students is
Explanation of Solution
Given information:
The relationship between teacher and students is shown in Table 1.
teachers | 1 | 2 | 3 | 4 | 5 |
students | 17 | 34 | 51 | 68 | 85 |
Table 1
From Table 1, it can be seen that for every
The relationship can be expressed in words as the number of students is 17 times the number of teachers.
Assume
The equation can be mathematically expressed as follows:
Now, the graph of the function
Interpretation:
It can be seen that the graph is the linear and increasing graph.
Conclusion:
The equation is
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