Select the scenario that correctly represents the given graph.

a. the vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

b. the value of a car decreases at a rate of 20% every year.

c. the height of an arrow, shot at an upward angle, increases before falling to the ground.

d. the charges of a package delivery service change with the weight of a package.

A. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

Step-by-step explanation:

According to Option A , we can see in the graph the with increase in the value of x there is a decrease in the value of y till y=10 and after this point with increase in  x  , y increases.

So, option A is matches the situation.

The vertical distance(y axis) of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

B The depreciating value of the car is a linear function with a negative slope .

The given graph is a quadratic function

So,. Option B is false.

C)The height of the arrow increases with time and then comes back to zero, so for that case the graph should have been upside down provided that 'y' represents the height with respect to the time.

So,Option C is false.

D) The charge of the package delivery service increases or changes with weight which is a linear relation between the weight of the package to be sent and the charge charged by the service.

So, Option D is false.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.