Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
Hence, after 8 days, the amount of bacteria is given by:
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B because that is where they intersect
Answer:
Ishaan is 49 years old.
Step-by-step explanation:
Let the present age of Christopher be 'C'.
Let the present age of Ishaan be 'I'.
From the given data, we can form equations which will help us solve the problem.
Christopher is 20 years younger than Ishaan. This means:
C = I - 20 . . . (1)
Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.
From the data, I - 14 = 3(C - 14) . . . (2)
Substituting the value of C in Equation 2, we get:
I - 14 = 3(I - 20 - 14)
⇒ I - 14 = 3(I - 34)
⇒ I - 14 = 3I - 112
⇒ 2I = 112 + 14 = 98
⇒ I = 49
So, Ishaan is 49 years old.
Note: 1 inch = 2.54 cm is an exact converion, while 1 mile=1.6km is only approximate.
Using conversion
1 inch=2.54 cm
1 mile = 1760*3*12 = 63360 in = 160934.4 cm
If 1 inch = 1 mile, then
2.54 cm : 1 mile = 1.609344 km
1 cm : 0.6336 km (exactly), or
1 cm : 0.6 km (approximately)
Using both conversions:
1 inch = 2.54 cm : 1 mile = 1.6 km
=>
2.54 cm : 1.6 km
1 cm : 1.6/2.54=0.6299 km (approximately), or
1 cm : 0.6 km (approximately)
Answer:
Step-by-step explanation:
A. It costs $20 per adult. If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20. That relates the number of adults to the cost of 1 adult.
It costs $13 per student. Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13. That relates the number of students to the cost of 1 student.
B. The total cost for 4 adult and 24 students looks like this:
20(4) + 13(24) which is 80 + 312 = $392
C. If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99. If you double the number of each, let's see if the cost doubles. We will "up" the numbers to 6 each. 20(6) + 13(6) = $198. Is $198 the double of $99. Yes it is. Let's do it again to check. Let's double the 6.
20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!
