Sage belongs to a bird-watching club. Every two days, she goes out and counts the number of Black-hooded Parakeets she sees. The sightings can be approximated by the equation y = 1/2x + 3. What is the approximate rate of change for the number of parakeets seen?

3

1/2

-1/2

7/2

The rate of change for the number of parakeets seen is 1/2

Step-by-step explanation:

The sightings can be approximated by the equation:

y = (1/2)*x + 3

Which represents a line. Any line can be writen by an equation in the following form:

y = m*x + b

Where m is the slope of the lane or it's rate of change and b is the value for "y" when "x" equals zero. Applying this knowledge to the equation of the bird sightings we can se that the sightings grows 1/2 for every one unit that x grows, therefore the rate of change is 1/2.

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!