Question
A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.
a) Write a function that relates the distance travelled ,d to the time, .
b) Graph the function and tell whether it is a linear function or non linear function.
Hint:
First, we find the constant speed of the train. Then we derive a function representing the relation between distance travelled and time taken by the train. Further, we make a table of different values of d for different values of t. Then we make a graph representing the equation. Recall that a function is said to be linear if the graph of the function in the xy plane is a straight line.
The correct answer is: 120t
Step by step solution:
Let us denote the time taken by the train by t.
Let us denote the distance travelled by d.
Given,
Distance travelled by the train =360 km
Time taken to travel the above distance = 3 hours
We know, speed =
.
As the speed is constant, we get
![text speed end text equals 360 over 3 equals 120](data:image/png;base64,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)
Thus, the constant speed of the train is 120 km per hour.
Finally, we get,
The train travels a distance d in time t at speed 120 km per hour.
So, the relation between t and d is given by
![120 equals d over t](data:image/png;base64,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)
Thus, a function that relates the distance travelled by the train in time t is
d = 120t
To graph the function, first we make a table of different values of x and the corresponding values of y.
t
0
1
2
3
4
5
d
0
120
240
360
480
600
Now, we plot these points in the graph.
![](data:image/png;base64,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)
From the graph it can be seen that the line drawn is a straight line. Hence, the function is linear.
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
Related Questions to study
Do the ordered pairs plotted in the graph below represents a function? Explain.
![](data:image/png;base64,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)
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Do the ordered pairs plotted in the graph below represents a function? Explain.
![](data:image/png;base64,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)
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.
![](data:image/png;base64,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)
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.
![](data:image/png;base64,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)
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
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)
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
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)
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.