Answer:
We can now write this is a function of time in years leading to
f
(
x
)
=
200
(
.94
)
x
f
(
5
)
≈
147
Explanation:
Firs you should consider that if its exponential then it has some form similar to
3
x
. Where we have some known part (3) and the unknown part (
x
) that we are trying to find out. Mathematically we can say it has the form
a
x
. In this case we know what the
a
is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.
Well it turns out that if you multiply some value over and over again it has this form. Example we multiply
2
⋅
2
⋅
2
⋅
2
=
2
4
. So if something doubled over time then this is what would happen.
Now the problem is that it will continue to decrease at the same rate leading to
a
⋅
(
.94
)
because only
94
%
of the population remains each year. After two years
a
⋅
(
.94
)
⋅
(
.94
)
. We can now write this is a function of time in years leading to
f
(
x
)
=
200
⋅
(
.94
)
x
f
(
5
)
≈
147
Step-by-step explanation:
1 3/4 because you have but how many times 4 goes into 7. Then use the difference as the numerator and use 4 as the bottom
35mi=61600 yards
Hope this helps:D
✳︎ ✳︎ ✳︎ ✳︎ ✳︎ ✳︎ Hello There! :)
To determine whether the two expressions are equivalent, we take the second expression and distribute 2:
2(3x+1)
6x+2=2+6x
And now we know the two expressions are equivalent. If you look, you will remember the Commutative Property that states:
a+b=b+a
In this case, a=6x and b=2.
So we know that the two expressions are equivalent.
Hope this helps! :)
