the data in the graph has been collected for the past year on the amount of rainfall for the mouth month that an area that is currently in a drought has received. which function would best modem this data?Date.- Amount of rain ___________________________January 12 -30Feb 12.- 12March 8.- 8April 12. -3may 12. -1June 12.- .4July 12.- .2A. exponential B. linearC. quadratic D. rational

Respuesta :

The data on the amount of rain starts at 30 in January and ends up at 2 in July.

That means that the amount of rainfall is decreasing as the months pass by.

This discards the exponential function because exponential functions increase with time.

Linear functions can decrease with time, but they do so constantly, if one month the rainfall decreases by a certain amount, the next it will decrease by the same or a similar amount. In this case that is not true, because from the first month to the second it decreases from 30 to 12 (by 18), the next from 12 to 8 (by 4) the next from 8 to 3 (by 5). Also, we can see that the amount of rainfall goes down to 1 in May, and then it goes back up in June, so it is not a linear function.

The function that would best fit the data set is a quadratic function because a quadratic function has the shape of a parabola: first, it goes down, and then it goes back up. And we can see that that is what if happening with the data, it goes down to 1 and then back up again to 4 and 2.

Answer: C. Quadratic