<span>26
is to 74 and 80 is to X
Since this is a ratio, let’s find the value of X
=> 26 : 74 = 80 : x
=> 74 x 80 = 5 920 / 26
=> 227.7
Let’s check if we have the correct answer.
=> 227.7 * 26
= 5920 / 74 = 80
Or let’s check the other way around
=> 5920 / 80 = 74
Thus our answer is correct</span>
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Step-by-step explanation:
Hence
You have to put:
And
Which results in:
And
The solution is:
Answer:
15
Step-by-step explanation:
