Question

PLEASE HELP!

The graph below shows the height an elevator travels, y, in x seconds:

A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.

What is the rate of change for the relationship represented in the graph?

50
25
fraction 1 over 25
fraction 1 over 50

Answer 1

The graph is not given , but with the help of information provided by you in the question:

X : 0 1 2 3 4 5 →→ Time in Seconds

Y : 0 25 50 75 100 125 →→Height of Elevator Above Ground in feet

Rate of change can be found by using two point slope form of line.

The slope of line joining two points
`(x_(1),y_(1)) and (x_(2),y_(2))` is given by =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:

Rate of change =
`(50-25)/(2-1)=25`

Option (B) 25 is correct answer.