Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is

Respuesta :

The graph of the journey is shown in the speed-time graph below

At the time = 3 minutes, Peter would have achieved the speed V. 

The distance he travelled is the area under the line as shown in the graph

We first need to find the V by using the area of a rectangle formula

[tex]Area= \frac{(b)(h)}{2} [/tex]
[tex]330= \frac{3h}{2} [/tex]
[tex]660=3h[/tex]
[tex]h=660/3=220[/tex]

so V=220
the gradient the f slope then given as [tex] \frac{220}{3} [/tex]
Ver imagen merlynthewhizz

Answer:

Slope = 110

Step-by-step explanation:

We have been given that Peter walks 3 minutes at a constant rate and travels 330 meters.

We know that slope of a line is known a s rise over run, so we can represent our given information as:

[tex]\text{Slope}=\frac{\text{Rise}}{\text{Run}}[/tex]

[tex]\text{Slope}=\frac{110\text{ meters}}{\text{ minute}}[/tex]

Therefore, the slope of the line representing this relationship is 110.

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