Now, if the customers left 8.23 extra, based on a percentage of the cost of the meal, namely, the 8.23 is a percent of 49.28, then
if we take 49.28 to be the 100%, how much of a percentage is 8.23?
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of
where
is the coordinates of a point that's on the line and
is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose
where
and ![b = -3](https://tex.z-dn.net/?f=b%20%3D%20-3)
![y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)](https://tex.z-dn.net/?f=y%20-a%20%3D%20m%28x%20-b%29%20%5C%5C%20y%20-7%20%3D%20m%28x%20-%28-3%29%29%20%5C%5C%20y%20-7%20%3D%20m%28x%20%2B3%29)
The next thing we have to do now is finding the slope,
, where it's equal to
. I'll make
point 1 and
point 2.
![m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%20-%207%7D%7B3%20-%28-3%29%7D%20%5C%5C%20m%20%3D%20%5Cfrac%7B3%20-%207%7D%7B3%20%2B3%7D%20%5C%5C%20m%20%3D%20%5Cfrac%7B-4%7D%7B6%7D%20%5C%5C%20m%20%3D%20-%5Cfrac%7B2%7D%7B3%7D)
Now let's plug that to our equation.
![y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)](https://tex.z-dn.net/?f=y%20-7%20%3D%20m%28x%20%2B3%29%20%5C%5C%20y%20-7%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%28x%20%2B3%29)
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
![y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5](https://tex.z-dn.net/?f=y%20-7%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%28x%20%2B3%29%5C%5C%20y%20-7%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20-%5Cfrac%7B2%7D%7B3%7D%283%29%20%5C%5C%20y%20-%207%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20-2%5C%5C%20y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B5)
<h3>Answer:</h3>
is your equation.
Well if you add 14 and 21 you get 35. with 35 you can have 7 groups of 5 but if they have to be equal with the number of boys and girls in each group it would still be 7. two boys in each group with three girls in each group.