Question

The graph below shows the distances in miles traveled by a helicopter in a certain number of hours. Based on the graph, which of the following equations indicates the correct variables, and in how many hours does the helicopter travel 3000 miles if it travels at the same speed?variables, and in how many hours does the helicopter travel 3000 miles if it travels at the same speed?


x = 100y, the helicopter travels 3,000 miles in 32 hours

y = 100x, the helicopter travels 3,000 miles in 30 hours

y = 100x, the helicopter travels 3,000 miles in 32 hours

x = 100y, the helicopter travels 3,000 miles in 30 hours

Answer 1

The correct answer is the second one: y = 100x, the helicopter travels 3,000 miles in 30 hours.

To see why this is right, choose some points from the graph, possibly with easy coordinates (i.e. integers).

For example, you can see that the points (2,200) and (4,400) belong to the graph. These points confirm that, for every point in the graph, the y coordinate is 100 times the x coordinates, hence the equation y = 100x. So, the first and last options are wrong.

To see how many hours it will take to the helicopter to travel 3000 miles, since the distance is represented by the y coordinate, we have to plug y=3000 in the formula and solve for x:

$3000 = 100 x \iff x = \cfrac{3000}{100} = 30$

and so the correct answer is the second one.

Answer 2

Answer: B is the correct one i did it on a test

Step-by-step explanation: