A lake near the Arctic Circle is covered by a 3 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 four weeks, she is only 1.6 m thick. Pls hurry!

Complete question :

A lake near the Arctic Circle is covered by a 3 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 four weeks, she is only 1.6 m 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) = 3 - 0.3t

Step-by-step explanation:

Given that:

Initial thickness = 3m

Assume the rate of decrease is constant

Thickness after 4 weeks = 1.6 m

To obtain a function for the scenario described above :

We can observe that the function is a linear function, given that rate of decrease per week is constant :

To obtain the rate of decrease :

Change after 4 weeks :

(Initial thickness - thickness after 4 weeks) / number of weeks

(3m - 1.6m) / 4

= 1.2m / 4

= 0.3 m per week

General form of a linear function :

y = mx + c

m = rate of change per unit

Hence, our function becomes ;

S(t) = 3 - 0.3t

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.