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.
Answer:
r > 17
Step-by-step explanation:
r -7> 10
Add 7 to each side
r-7+7 > 10+7
r > 17
Answer: Morgan make (66) 2point baskets.
Explanation:
It is given that during the basketball season, morgan made 3 times as many 2 point baskets as she made 3 point baskets and free throws combined.
Let the number of 2point basket be x, the number of 3point basket be y and the number of free throws be z.
If she made 14 free throws and eight 3point baskets, then the number of 2point did she make is,
Therefore, the number of 2point baskets make by morgan is 66.
Answer:
<h2>A. The amount of time it would take to watch ten 1/2 hour videos.</h2>
Step-by-step explanation:
Sana makatulong :)
Answer:
a) the beef cost the most
b) $125.8
Step-by-step explanation:
A) 1.2 potatoes
1.8 carrots
2.39 beef
.5 peppers
B) 15.30-.5=14.80 x 8.5=<u>125.8</u>
