Question

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick.

Let yyy represent the ice sheet's thickness (in meters) after xxx weeks.
Which of the following information about the graph of the relationship is given?

Answer 1

function's formula =
`S(t) = -0.25t + 2`

i.e.
`S(t) = 2 - 0.25t`

Explanation:

Correct Question: A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula.

S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).

Therefore the equation formed will be linear.

The equation will be of the form
`y = mx + b`

Here ,
`S(t) = mt + b`

Here m is the slope which is the rate at which ice is melting.

Putting,
`t = 0`

`S(t) = 2`

Putting
`t = 3`,

`S(t) = 1.25`

Therefore,

⇒
`m(0) + b = 2`

⇒
`b = 2`

And,
`3m + b = 1.25`

⇒
`3m = 1.25 - 2`

⇒
`3m = -0.75`

⇒
`t = -0.25`

Hence, function's formula =
`S(t) = -0.25t + 2`

i.e.
`S(t) = 2 - 0.25t`

Answer 2

y-intercept and a point that is not an intercept

Explanation:

Given that the ice sheet is starting with 2 meter thick ice-which is on the y axis, means it must be the y intercept. Then it gives another point which does not contain 0 meaning it to be just another point. :) hope that helps