Chapter 4.2, Problem 5STP

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 determine

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 $y=17x$ .

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 $1$ teacher there are $17$ students.

The relationship can be expressed in words as the number of students is 17 times the number of teachers.

Assume $x$ as time number of teachers and $y$ as number of students to obtain the equation of the given relationship.

The equation can be mathematically expressed as follows:

$y=17x$

Now, the graph of the function $y=17x$ is shown in Figure 1.

Interpretation:

It can be seen that the graph is the linear and increasing graph.

Conclusion:

The equation is $y=17x$ that expresses the given relationship.