The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 80 and 3, 80 and 4, 20 and 6, 0 and 7, 0 and 8, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 10 seconds. Use complete sentences to support your answer. (3 points).

Question

contestada

Respuesta :

ACCESS MORE EDU ACCESS Universidad de Mexico

MrRoyal MrRoyal · Answer 1 · 2021-12-12T05:18:32+01:00

Linear models are used to model variables of constant rates.

(a) Increasing interval of the domain

From the graph (see attachment), we can see that the height of the water increases as the time increases from time = 0 to time = 2.

Hence, the height of the water is increasing at domain (0,2)

(b) Constant interval of the domain

From the graph, we can see that the height of the remains unchanged as the time increases from time = 2 to time = 4.

Hence, the height of the water is constant at domain (2,4)

(c) The fastest decreasing interval of the domain

From the graph, we can see that the height of the decreases as the time increases from time = 4 to 6 seconds and 6 to 10 seconds.

However, the unit level of water decreases more at interval 6 to 10

Hence, the height of the water is decreasing fastest at domain (6,10)

(d) The water level at 10 seconds

From the graph, we can see that the height of the water at time = 10 seconds is 0 feet.