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 75 in increments of 15 for each grid line. A line is shown passing through the ordered pairs 1, 15 and 2, 30 and 3, 45 and 4, 60. The title of the graph is Rate of Ascent.

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

fraction 1 over 15
fraction 1 over 14
14
15

Step-by-step explanation:

Rate of change is:

Substitute values with ordered pairs:

Correct option is D. 15

A line is shown passing through the ordered pairs (1, 15) and (2, 30) and (3, 45) and (4, 60).

The rate of change of height :---

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.