Respuesta :
Answer:
Given : 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:
To Find : During what interval(s) of the domain is the water balloon's height increasing
During what interval(s) of the domain is the water balloon's height staying the same
During what interval(s) of the domain is the water balloon's height decreasing the fastest
Solution:
Time height
0 26
2 34
4 34
8 30
10 0
12 0
from 0 to 2 sec - the water balloon's height increasing
from 2 to 4 sec and 10 to 12 sec water balloon's height staying the same
from 4 to 8 sec decreasing speed = (34 - 30)/( 8-4) = 1 ft /sec
from 8 to 10 sec decreasing speed = (30 - 0)/( 10-8) = 15 ft /sec
Hence 8 to 10 sec , the water balloon's height decreasing the fastest
the height of the water balloon at 14 seconds. = 0
as at 10 sec balloon reached ground and will stay on ground only
Step-by-step explanation:
Answer:
Given : 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:
To Find : During what interval(s) of the domain is the water balloon's height increasing
During what interval(s) of the domain is the water balloon's height staying the same
During what interval(s) of the domain is the water balloon's height decreasing the fastest
Solution:
Time height
0 26
2 34
4 34
8 30
10 0
12 0
from 0 to 2 sec - the water balloon's height increasing
from 2 to 4 sec and 10 to 12 sec water balloon's height staying the same
from 4 to 8 sec decreasing speed = (34 - 30)/( 8-4) = 1 ft /sec
from 8 to 10 sec decreasing speed = (30 - 0)/( 10-8) = 15 ft /sec
Hence 8 to 10 sec , the water balloon's height decreasing the fastest
the height of the water balloon at 14 seconds. = 0
as at 10 sec balloon reached ground and will stay on ground only