Question

The graph below shows the air temperature of a location (y), in degrees Celsius, after different time intervals (x), in hours: Graph of first line going through ordered pairs 0, 40 and 2, 10. Graph of second line going through ordered pairs 2, 10 and 4, 10. Graph of third line going through ordered pairs 4, 10 and 7, 50. Which of the following statements best describes the temperature of the location?

It is decreasing in the time interval 10 < x < 50 hours.
It is decreasing in the time interval 0 < x < 2 hours.
It is increasing in the time interval 10 < x < 50 hours.
It is increasing in the time interval 0 < x < 2 hours.
Please answer ASAP!!

Answer 1

decreasing in the time interval 0<x<2 hours. or B

Explanation:

Answer 2

it is decreasing in the time interval 0<x<2 hours.

Explanation:

Graph of first line going through ordered pairs A(0, 40) and B(2, 10).

Graph of second line going through ordered pairs B(2, 10) and C(4, 10). Graph of third line going through ordered pairs C(4, 10) and D(7, 50).

When movement is from point A to B, change in x = 2 and change in y = -30

Hence change for unit x = -30/2 = -15 ... i

When movement is from point B to C, change in x = 2 and change in y = 0

Hence change for unit x = 0/2 = 0 ... ii

When movement is from point C to D, change in x = 3 and change in y = +40

Hence change for unit x = 40/7 = 5.71 .. iii

Hence from A to B it is decreasing, B to C it remains constant and C to D it is increasing.

x coordinate represents hours and y coordinate degrees.

Hence answer is it is decreasing in the time interval 0<x<2 hours.