well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.
![\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}](https://tex.z-dn.net/?f=%20%5Cbf%20%7C2x-5%7C%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%282x-5%29%3D4%5Cimplies%202x%3D9%5Cimplies%20x%3D%5Ccfrac%7B9%7D%7B2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20-%282x-5%29%3D4%5Cimplies%202x-5%3D-4%5C%5C%5B1em%5D%202x%3D1%5Cimplies%20x%3D%5Ccfrac%7B1%7D%7B2%7D%20%5Cend%7Bcases%7D%20)
PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
<span>the initial value is 200 at 0
weeks, which means that there are 200 songs to be downloaded at the
beginning</span>
PART B)
<span><span><span>
<span><span>calculate the slope:
</span><span>
m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
y - 200 = -40(x - 0)
y = -40x + 200</span></span>
</span></span></span>
<span>
<span>
</span></span>
6 grams of tea: 24 fluid ounce of tea
? grams of tea: 288 fluid ounces
288×6÷24=72 grams of tea is your final answer. Hope it help!
The answer is the third one -2.
