Respuesta :
function's formula = [tex]S(t) = -0.25t + 2[/tex]
i.e. [tex]S(t) = 2 - 0.25t[/tex]
Step-by-step 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 [tex]y = mx + b[/tex]
Here , [tex]S(t) = mt + b[/tex]
Here m is the slope which is the rate at which ice is melting.
Putting, [tex]t = 0[/tex]
[tex]S(t) = 2[/tex]
Putting[tex]t = 3[/tex],
[tex]S(t) = 1.25[/tex]
Therefore,
⇒ [tex]m(0) + b = 2[/tex]
⇒ [tex]b = 2[/tex]
And, [tex]3m + b = 1.25[/tex]
⇒ [tex]3m = 1.25 - 2[/tex]
⇒ [tex]3m = -0.75[/tex]
⇒[tex]t = -0.25[/tex]
Hence, function's formula = [tex]S(t) = -0.25t + 2[/tex]
i.e. [tex]S(t) = 2 - 0.25t[/tex]
Answer:
y-intercept and a point that is not an intercept
Step-by-step 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
