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. 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.

−29=___(x-___)

Answer 1

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

Explanation:

From the table when
`x=2,y=43` an when
`x=4,y=36`.

The rate of change is given by
`(Change\:in\:y)/(Change\:in\:x)`

This implies that:
`m=(36-43)/(4-2) =-(7)/(2)`

We now use the point-slope formula:
`y-y_1=m(x-x_1)`.

We choose from the table
`x_1=6,y_1=29`

We now substitute this point and the slope to get:

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