The weights and heights of six mathematics students are given in the following table:
Weight (in pounds)
Height (in centimeters)
165
172
123
157
212
183
175
178
165
163
147
167
In the statement, "Height is a function of weight," which variable is the input and which is the output?
a.
Weight is output, height is input
b.
Both weight and height are the input
c.
Weight is input, height is output
d.
Both weight and height are the output
consider that you often are told to work with f(x)
where f is a function of x.
Now apply that idea to this, but change the names.
In the statement "Height is a function of weight," the weight is the input variable and the height is the output variable. Therefore, the correct answer is:
c. Weight is input, height is output
To determine which variable is the input and which variable is the output in the statement "Height is a function of weight," we need to understand what a function is. In mathematics, a function is a relation between a set of inputs (also known as the domain) and a set of outputs (also known as the range), such that each input corresponds to exactly one output.
In this case, the statement "Height is a function of weight" indicates that the height values depend on the weight values. This means that weight is the input and height is the output.
Therefore, the correct answer is:
c. Weight is input, height is output