WILL FAN AND MEDAL

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec): 0 2 4 6
Velocity (ft/s): 100 51 18 0
Give under- and overestimates (using all of the available data) for the distance the car traveled after the brakes were applied.

Question

WILL FAN AND MEDAL

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded: 
Time since brakes applied (sec): 0	2	4	6
Velocity (ft/s):                          100	51	18	0
Give under- and overestimates (using all of the available data) for the distance the car traveled after the brakes were applied.

amenah8 · Answer

Overestimate = 338 ft

But how do I find the UNDERESTIMATE??

amenah8 · Answer

@zepdrix  can you help me please?

steve816 · Answer

The function is decreasing correct? For the underestimate, start with the second velocity.
2(51) + 2(18) + 2(0)

amenah8 · Answer

138 ft for under estimate?

amenah8 · Answer

wow it makes a lot more sense when you put it that way - that the function is decreasing so we multiply two by the decreasing numbers.

steve816 · Answer

Correct!

amenah8 · Answer

Thank you so much!

steve816 · Answer

Haha yup! Glad you finally get it :)|dw:1478650875542:dw|

amenah8 · Answer

XD