In 1994, the moose population in a park was measured to be 3080. By 1997, the population was measured again to be 3320. Of the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990

the formula for the moose population is P(t) = 80t + 2760

Step-by-step explanation:

To get the the formula of the population which changes linearly we start by;

let x be the number of years since year 1990 and y be the number of population measured.

in year  1994 x = 4, y = 3080

            1997 x = 7, y = 3320

we have just gotten two points on a graph which are (4, 3080) and (7, 3320).

Using the slope formula  m =

by substituting both points into the equation

m = (3080 - 3320) / (4 - 7)

m = (-240) / (-3)

m =  80

After getting the slope, we will use the point slope formula to get the equation of the line.  (NOTE: Also either points will arrive at the same result)

point-slope formula =

by substituting the first point into the equation and the slope,

             y - 3080 = 80 (x - 4)

             y - 3080 = 80x - 320

by adding 3080 to both sides

             y - 3080 + 3080 = 80x -320 + 3080

            y = 80x + 2760

so by replacing the formula in terms of P and t, we replace y with P(t) and x with t

          P(t) = 80t + 2760

also by using the second point into the equation and the slope,

             y - 3320 = 80 (x - 7)

             y - 3320 = 80x - 560

by adding 3320 to both sides

           y - 3320 + 3320 = 80x - 560 + 3320

            y = 80x + 2760

answer: ur mum is gay

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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