Answer:
The graph of the data presented is shown in the attached image to this solution.
It shows that the relationship between distance travelled in miles and the time take in hours is D = 55t
Step-by-step explanation:
The distance travelled with the corresponding time taken are presented in the table
Note: D - Distance travelled (miles)
t - Time (hours)
D | t
55 | 1
110 | 2
165 | 3
220 | 4
275 | 5
330 | 6
We are then told to plot these distance travelled on a graph with the time taken.
The distance travelled is plotted on the y-axis and the time in hours is plotted on the x-axis.
The image of the graph of this function will be attached to this answer
It is evident that the graph shows the relationship between the distance travelled and time taken to be D = 55t
Hope this Helps!!!
Graph of relationship [tex]D=55t[/tex] on coordinate plane attached below.
Since, the table below shows the distance traveled as a function of time.
Time(t) Distance (D)
1 55
2 110
3 165
4 220
5 275
6 330
In the graph, X - axis represent timer in hours and Y - axis represent that distance travelled in miles.
Slope = [tex]\frac{y}{x} =\frac{55}{1}=\frac{110}{2}=\frac{165}{3} =55[/tex]
It is observed that, in each relationship slope is same .Therefore, relationship is a line passing through the origin.
Relationship is, [tex]D=55t[/tex]
Graph is attached below,
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