Answer:

Explanation:
<u>Equation:</u>

This is a decaying exponential function, because the exponent is negative.
Then, the larger the value of t (number of months), the smaller A (the number of hectares).
The factor 1,562.5 is the initial number of hecares, when t = 0.
You must find the value of t when A equals 500, thus solve the equation:

Divide both sides by 1,562.5


Take base-10 logarithms on both sides:


Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.
By using your fingers or doing it in your head
Y<1-6x
Insert the values of
x
=
x
=
and
y
=
y
=
into the equation to find if the ordered pair is a solution.
y
<
1
−
6
x
y
<
1
-
6
x
Rewrite so
x
x
is on the left side of the inequality.
1
−
6
x
>
y
1
-
6
x
>
y
Subtract
1
1
from both sides of the inequality.
−
6
x
>
y
−
1
-
6
x
>
y
-
1
Divide each term by
−
6
-
6
and simplify.
The answers are:
____________________________________________
[A]: f(x) = -8 ; AND:
[B]: f(x) = -3 .
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