Question

You may use a calculator and one page of notes; however all conclusions must be supported with relevant work, reasoning, and general knowledge of algebra and calculus concepts. In 1928, the St. Francis Dam broke and flooded the San Francisquito and Santa Clara River Valleys. The flow-rate, r();measured in thousands of acre-feet per minute, was measured at regular intervals,/ minutes after the dam failed. 8 1. (3 pts) 15 30 45 60 75 90 r()2 50 4 231 Using the data given, estimate the volume of water that went into the local valleys. Use appropriate notation, including units in final answer. Note: DO NOT use -notation here, bat briefly explain your method thought process.

Answer 1

The dam broke and flooded local valleys. The flow-rate, r(t); measured in thousands of acre-feet per minute, was measured at regular intervals, t minutes after the dam failed. Using the data given, t and r(t) ,formula to estimate the volume of water that went into the local valleys.

RATE=r(t) means quantity (volume) of water flowed per unit time

i.e.

Volume of water time v u=t*r(t) ,

t	r(t)	Volume=t*r(t)
0	0	0
15	2	30
30	50	1500
45	40	1800
60	23	1380
75	11	825
90	4	360
Total		5895

The estimate of volume of water that went into local valleys=sum=5895 thousands of acre-feet.