Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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You already know what it is cuh
Answer:
The tap drains approximately half the water from the tank in 15 minutes
The tank initially has 50 gallons of water
Step-by-step explanation:
<u>The tap drains approximately half the water from the tank in 15 minutes. </u><u>True.</u>
This is true because see that the point (15,25) lies on the graph of the line.
Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.
The tap drains exactly one gallon from the tank every minute. False
This is false because the slope of the graph is 
<u>The tank initially has 30 gallons of water. </u><u>False.</u>
The y-intercept is the initial gallons of water which is 50.
<u>The tank initially has 50 gallons of water. </u><u>True.</u>
The y-intercept is the initial gallons of water which is 50.
<u>The tank takes 50 minutes to drain completely. </u><u>False</u><u>.</u>
It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.