Question

The relationship between the area and perimeter of a square can be expressed as the function y = 4, where y is the perimeter of the square in units and x is its area in square units. Joey is using a computer program that allows him to see how changing the area of a square changes its perimeter. Which statement about the rate of change is true?

A. The rate of change is 0.
B. The rate of change is positive.
C. The rate of change is negative.
D. The average rate of change is the same for all points on the graph.

Answer 1

Plz help me

Answer 2

The rate of change is equal to the slope of the tangent line. Notice that the function is always increasing, and so the tangent line has a positive slope. Therefore, the rate of change is positive.

Answer 3

If the graph represents the relationship between the area and the perimeter, then since the function is increasing, I would say the rate of change is positive. :)

Answer 4

However, your function y = 4, doesn't match up with that graph

Answer 5

A projectile was shot upward from the ground with an initial speed of 48 feet per second. This graph shows the height of the projectile at any given time. For which of these times does the graph show a negative rate of change?

A. between 0 and 1.5 seconds
B. only at 1.5 seconds
C. between 1.5 and 3 seconds
D. between 3 and 4 seconds

Answer 6

Sorry, if you move from left to right on the curve :)

Answer 7

It is increasing from t = 0 seconds to t = 1.5 seconds ... and then?

Answer 8

At what time does the projectile hit the ground?

Answer 9

The function is decreasing between 1.5 seconds and the time it hits the ground, 3 seconds. So, the slope is negative in that interval.