Question

Which estimate best describes the area under the curve in square units?

10 units²

15 units²

25 units²

30 units²

Answer 1

My best estimate for this figure is 15

Answer 2

see the attached figure to better understand the problem

we know that

the estimate of the area under the curve is equal to

`Area\ estimate=Area\ of\ the\ complete\ rectangle-(Area\ triangle1\ +\ Area\ triangle 2)`

`Area\ of\ the\ complete\ rectangle=4*6=24\ units^(2)`

`Area\ triangle1=(1)/(2) (1.5*3)=2.25\ units^(2)`

`Area\ triangle2=(1)/(2) (2.5*5)=6.25\ units^(2)`

substitute the values

`Area\ estimate=24\ units^(2)-(2.25\ units^(2)+6.25\ units^(2))`

`Area\ estimate=15.5\ units^(2)`

therefore

the answer is

`15\ units^(2)`