The function f (x) = 200(0.904)ˣ, where x is the time in years, models a declining feral cat population. Predict the number of feral cats there will be in 6 years.

The answer to your question is 109 feral cats

Step-by-step explanation:

Data

        f(x) = 200 (0.904)

This function is an exponential to find the number of feral cats after 6 years, just substitute the number of years (6) in the equation and simplify it.

        f(6) = 200 (0.904)⁶

Simplification

        f(6) = 200(0.546)

Result

        f(6) = 109.15 feral cats ≈ 109

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3