The statistical question would be B.
As you bring all the non-variable numbers over to the right side, it becomes 384 which you then will divide the 32 in x which gives us 12. so x=12
Answer:
Step-by-step explanation:
A) 16.13 = 12(1.03)ⁿ
1.344 = (1.03)ⁿ
ln(1.344) = n(ln(1.03))
n = (ln(1.344)) / ln(1.03)
n = 10.0062...
so a domain of 0 ≤ n ≤ 10 is reasonable
B) y-intercept is the height of the plant on day 0 which would be 12 cm
C) f(3) = 12(1.03)³ = 13.11 cm
average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7
= 0.43 cm/day or average growth per day
Simplifying
h(t) = -1t2 + -2t + 30
Multiply h * t
ht = -1t2 + -2t + 30
Reorder the terms:
ht = 30 + -2t + -1t2
Solving
ht = 30 + -2t + -1t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 30t-1 + -2 + -1t
Simplifying
h = 30t-1 + -2 + -1t
Reorder the terms:
h = -2 + 30t-1 + -1t
