A chairlift starts 0.5 mi above the base of a mountain and travels up the mountain at a constant speed of 6 mph. How would the function, graph, and equation change if the speed is 4 mph? What is the effect on the domain?

Respuesta :

Answer:

d(t)=1/15t+0.5

Step-by-step explanation:

The starting point remains the same. The slope of the graph would decrease. The domain would be increased.

For a  chairlift  effect on function, graph, and equation change if the speed is 4 mph and starts at 0.5 mi above the base of a mountain  can be summarized in following points

1. Starting point in both the conditions is same.

2.  Slope of line decreases and hence equation of function is changed to [tex]\rm y = 4x +0.5[/tex]

3. To achieve the same miles (y values ) we have to increase x hence to travel the same distance as before the number of hours have increased now.

4.The effects on the graph are shown in the figure attached.

 A chairlift starts 0.5 mi above the base of a mountain

and travels up the mountain at a constant speed of 6 mph.

The effect on function, graph, and equation change if the speed is 4 mph

are

we have to find that  what is the effect on the domain.

Let x represent the number of hours and y represent miles

So the slope (speed) of equation will be represented as miles per hour

From the given data we can model two equations which are shown in the graph attached

the equations are

[tex]\rm y = 6x + 0.5 .........(1) \\y = 4x +0.5 ............(2)\\[/tex]

These are the equations of straight line

As compared with the standard equation of line

[tex]\rm y = mx +c \\ m = Slope \; of\; line \\c = Value\; of\; y \; intercept[/tex]

Slope of first line = 6

Slope of second line = 4

So we can conclude from equation (1) and (2)  that

1. Starting point in both the conditions is same.

2. Slope of line decreases and hence equation of  function is changed to [tex]\rm y = 4x +0.5[/tex]

3. To achieve the same miles (y values ) we have to increase x hence to travel the same distance as before the number of hours have increased now.

The effects on the graph are shown in the figure attached.

For more information please refer to the following link

https://brainly.com/question/2427255

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