Question

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )

Answer 1

Explanation:

I took the test and the answer is: y - 29 = -7/2 (x - 6)

Answer 2

The given data is
time (h): 2 4 6 8
gallons: 43 36 29 22

A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.

Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2

Answer:
`y-29 = - (7)/(2) (x-6)`