Question

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

Answer 1

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:

$\text{Slope}=\frac{\text{Rise}}{\text{Run}}$

$\text{Slope}=\frac{110\text{ meters}}{\text{ minute}}$

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

Answer 2

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

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

so V=220
the gradient the f slope then given as $\frac{220}{3}$