Latoya took a taxi home from her best
2 answers:
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Answer:
The length of the hallway is 10 m.
Step-by-step explanation:
Given:
Time taken to cover 1 km = 2.5 hours
Distance covered in 2.5 hours = 1 km
Therefore, speed of robot =
Now, speed is constant.
Now, time taken to cover the length of hallway = 90 s
Speed of the robot = 0.4 km/h
Converting 0.4 km/h to m/s, we multiply by the factor . This gives,
Now, distance of the hallway is equal to the product of speed and time. So,
Distance of hallway = Speed Time
Distance of hallway =
Therefore, the length of the hallway is 10 m.
Answer:
-600
Step-by-step explanation:
The rate of change of a function f(x) in a certain interval is the ratio between the change of the function and the change in the value of x:
The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.
In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.
Here we are told that the machine was purchased for
while its value decreases by $600 each year, so
This means that the linear function that represents the value of the machine after x years is:
Therefore, the rate of change of the function is -600.