(01.08)
1 answer:
You might be interested in
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Using a graphing tool
see the attached figure
This is the equation of a vertical parabola open downward
The vertex is the point (3.25,225) (a maximum)
The zero's of the function or the t-intercepts are the points (-0.5,0) and (7,0)
The h-intercept of the function is the point (0,56)
The domain of the function are all real numbers
The range of the function ----> All real numbers less than or equal to 225
Answer:
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
When the cable car’s elevation will be 750 feet after minutes, then we have
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.