The graph below shows the height through which 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?

A.) 50

B.) 25

C.) 1/25

D.) 1/50

The answer is 25 i think bc when yu do the steps yu will find out so i think the answer is 25 or 50 either one i am positive... if a i am wrong then my apologies i am just in 6th grade..

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-06-11T08:21:16+02:00

Answer:

The correct option is B.

Step-by-step explanation:

If a line passing through two point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of line is defined as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line is connecting points on ordered pair (1, 25) and (2, 50) and (3, 75) and (4, 100).

Consider any points of the line,i.e., (1,25) and (2,50). Then the slope of the line is

[tex]m=\frac{50-25}{2-1}[/tex]

[tex]m=\frac{25}{1}[/tex]

[tex]m=25[/tex]

The slope and rate of change for the relationship represented in the graph is 25. Therefore the correct option is B.