Question

1) Consider the relationship between the height of a plant and time. Time would be considered which of the following?
a) function
b) input function
c) independent variable
d) dependent variable
2) Which of the following best describes the relationship between the length of a rectangle and as width varies and perimeter stays the same?
a) As widths decreases, length stays constant
b) As width increases, length increases
c) As width decreases, length decreases
d) As width increases, length decreases

Answer 1

1. Independent variable

2. As width decreases, length increases

Answer 2

Using function concepts, it is found that:

1) Time is the independent variable, so option c.

2) d) As width increases, length decreases.

Question 1:

• A function gives an output that depends on the value of the input. Thus, the input is the independent variable, while the output is the dependent variable.
• For this example, height varies as function of time, thus time is the input and the independent variable, given by option c.

Question 2:

The perimeter of a rectangle with length l and width w is given by:

$P = 2(l + w)$

For the perimeter to stay constant when the length and the width vary, one has to increase and the other has to decrease, thus option d is correct.

A similar problem is given at https://brainly.com/question/1429012