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Answer:
C. 8%
Step-by-step explanation:
Because everyone can get divided by 5 equally besides 8
![\bf \begin{array}{cccccclllll} \textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\ \textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\ y&=&{{ k}}&\cdot&x && y={{ k }}x \end{array} \\ \quad \\ \textit{we know that, when} \begin{cases} y=-3\\ x=5 \end{cases}\implies y=kx\implies (-3)=k(5)](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bcccccclllll%7D%0A%5Ctextit%7Bsomething%7D%26%26%5Ctextit%7Bvaries%20directly%20to%7D%26%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctextit%7Bsomething%7D%26%3D%26%7B%7B%20%5Ctextit%7Bsome%20value%7D%7D%7D%26%5Ccdot%20%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0Ay%26%3D%26%7B%7B%20k%7D%7D%26%5Ccdot%26x%0A%0A%26%26%20%20y%3D%7B%7B%20k%20%7D%7Dx%0A%5Cend%7Barray%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctextit%7Bwe%20know%20that%2C%20when%7D%0A%5Cbegin%7Bcases%7D%0Ay%3D-3%5C%5C%0Ax%3D5%0A%5Cend%7Bcases%7D%5Cimplies%20y%3Dkx%5Cimplies%20%28-3%29%3Dk%285%29)
solve for "k", to find the "constant of variation",
then plug it back in the y = kx, to get the equation
now
what's is y when x = -1?
well, just plug that in the equation with the found "k" value,
to get "y" :)
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
Answer:
6.4
Step-by-step explanation:
This is because 20% of 32 is 6.4.