In 2003, the owl population p in a park was measured to be 340. by 2007, the population was measured again to be 285. the population changes linearly. let the input t be years since 2003. a.) find a formula for the owl population, p. let the input be years t since 2003. b.) what does your model predict the park’s owl population to be in 2019?

y = -13.75x + 340

120 owls in 2019

Step-by-step explanation:

To find the population in a future year, use the formula y=mx+b since it changes linearly.

So over 4 years the owl population changed from 285-340=-55. Divide by 4 and this is a yearly change of -13.75. This is m.

The y-intercept is the starting point known as b in the equation. Here it is 340.

So the equation is y=-13.75x+340.

In 2019, t=16 so y=-13.75(16)+340 = 120.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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