Question

The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Find an over- and underestimate for the total amount of water drained during the first 3 minutes. Enter the average of these two values below.

t min 0 0.5 1 1.5 2 2.5 3
liters/min 60 58 56 54 52 50 48

Answer 1

i know for underestimate I can just take the average right before 3 minutes (change in y over change in x), but what about overestimate? there are no values after 3 minutes

Answer 2

or since they are increasing do i add them all and divide by the number of values?

Answer 3

You gotta add up the rectangles

Answer 4

For the overestimation these will be the height of each rectangle,
60 58 56 54 52 50

For the underestimation these will be the height of each rectangle,
58 56 54 52 50 48

Answer 5

would i be multiplying a number by each of those values?

Answer 6

like (3*60) + (3*58) and so on for overestimate?

Answer 7

Yup, and that number would be 0.5, because that would be the base of the rectangle.

Answer 8

To find the area of a rectangle, yes,
you would multiply height times width.

Woops!
The width of EACH rectangle isn't 3.
The 3 makes up the entire length.

Answer 9

oh wait how did you get 0.5?

Answer 10

They're counting by 0.5's,

t min 0 0.5 1 1.5 2 2.5 3

Answer 11

for overestimate i multiplied 3 by each of the values and then added them to get 990

Answer 12

oh so multiply by 0.5 instead of 3 because 0.5 is the number they are increasing by?

Answer 13

I got 165 for the overestimate