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.
A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.
B. False. The row categories are "students" and "teachers"
C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.
D. False. The value 32 represents the number of students who wear glasses. See row1, column1
E. True. Look at the last value of the "teachers" row.
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In summary, the answers are: C and E
They both equal 78 degrees because they are the same angle which means that they have the same degrees for f and e.
Answer:
A) y = -5/8x + 6
Step-by-step explanation:
y2 - y`1 / x2 - x1
7/2 - 11 / 4 - (-8)
-15/2 / 12
= -5/8
y = -5/8x + b
11 = -5/8(-8) + b
11 = 5 + b
6 = b
