Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Answer:
4 R 3 or 4.5
Step-by-step explanation:
Answer:
option d.
(9,-2)
.........................
The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.
<h3>What does population growth exponentially mean?</h3>
When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
Given:
P = 340
It has been discovered that a specific bacterial population doubles in 20 minutes.
k = 2/20 = 0.1
t = 37 minutes
We know that,
P = P₀
340 = P₀(
)
340 =P₀(40.44)
P₀ = 8.40
As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.
Learn more about exponential growth here:
brainly.com/question/13223520
#SPJ9
Answer:
$16
Step-by-step explanation:
1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.
2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.
3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.
$16 is made in 60 minutes (1 hour).
