$------ 30%=.3 -> .3•55=16.55-> 55-16.55=38.5-> 38.5•0.07= 2.695-> 38.5+(because its taxed on)2.695=$41.195
We will have that the only graph that could represent the heigth of a rocket is graph A. Assuming that the x-axis represents the ground, then after some time it will go back to it.
Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{-17-(-2)}{3-(-9)}=\frac{-17+2}{3+9}=-\frac{15}{12}=-\frac{5}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B-17-%28-2%29%7D%7B3-%28-9%29%7D%3D%5Cfrac%7B-17%2B2%7D%7B3%2B9%7D%3D-%5Cfrac%7B15%7D%7B12%7D%3D-%5Cfrac%7B5%7D%7B4%7D)
![\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-\frac{5}{4}\cdot(x-(-9)) \\ y+2=-\frac{5}{4}\cdot(x+9)_{} \\ y=-\frac{5}{4}x-\frac{45}{9}-2 \\ y=-\frac{5}{4}x-7 \\ f(x)=-\frac{5}{4}x-7 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%20y-%28-2%29%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28x-%28-9%29%29%20%5C%5C%20y%2B2%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28x%2B9%29_%7B%7D%20%5C%5C%20y%3D-%5Cfrac%7B5%7D%7B4%7Dx-%5Cfrac%7B45%7D%7B9%7D-2%20%5C%5C%20y%3D-%5Cfrac%7B5%7D%7B4%7Dx-7%20%5C%5C%20f%28x%29%3D-%5Cfrac%7B5%7D%7B4%7Dx-7%20%5Cend%7Bgathered%7D)
So, y is the line which goes through the first and last points of the chart.
To proof that the rest of points go through the line as well, we will evalute each point
![\begin{gathered} f(-5)=-\frac{5}{4}\cdot(-5)-7=\frac{25}{4}-7=-\frac{3}{4}\ne-7 \\ f(-1)=-\frac{5}{4}(-1)-7=\frac{5}{4}-7=-\frac{23}{4}\ne-12 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-5%29%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28-5%29-7%3D%5Cfrac%7B25%7D%7B4%7D-7%3D-%5Cfrac%7B3%7D%7B4%7D%5Cne-7%20%5C%5C%20f%28-1%29%3D-%5Cfrac%7B5%7D%7B4%7D%28-1%29-7%3D%5Cfrac%7B5%7D%7B4%7D-7%3D-%5Cfrac%7B23%7D%7B4%7D%5Cne-12%20%5Cend%7Bgathered%7D)
Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear
Answer:90
Step-by-step explanation: