Answer:
$13.75 per hour is Nikki's pay rate.
Step-by-step explanation:
We can find the hourly pay rate for Nikki by dividing the total pay by the total number of hours worked:
343.75 dollars / 25 hours = ? / ? dollars/hour (or dollars per hour)
$13.75 per hour is Nikki's pay rate.
<u>x₂ + x₁</u> = m <u>y₂ + y₁</u> = m<u>
</u> 2 2
<u>
</u>-10 = x₂
<u />9 = y₂
2=m
5=m
Plug in given numbers
<u>-10 + x</u> = 2 <u>9 + y</u><u /> = 5
2 2
Solve
<u>-10 + x</u> = 2*2
2 *2
-10 + x = 4
+10 +10
x = 14
(9 + y)/2(2) = 5 (2)
9 + y = 10
-9 -9
y=1
Final Answer: (14,1)
So slope=rise/run
rise=8
run=12
8/12=4/6=2/3
the slope=2/3
Answer:

Step-by-step explanation:
The logistic differential equation is as follows:

In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that
when
. With this, we can find r, that is, the growth rate,
So




So the differential equation is:

