you must substitute x in the equation given :)
examples:
when x is -2
therefore, y = 2(-2) + 3
y = -1
when x is 0
therefore, y = 2(0) + 3
y = 3
when x is 1
therefore, y = 2(1) + 3
y = 5
when x is 3
therefore, y = 2(3) + 3
y = 9
for (b) you only have to plot based on the table ;)
hope this helps
Answer:
See explanation
Step-by-step explanation:
Let
be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
![15x+25y\ge 3,750](https://tex.z-dn.net/?f=15x%2B25y%5Cge%203%2C750)
2. The auditorium can accommodate up to 180 spectators, hence
![x+y\le 180](https://tex.z-dn.net/?f=x%2By%5Cle%20180)
3. We get the system of inequalities:
![\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cge%200%5C%5Cy%5Cge%200%5C%5Cx%2By%5Cle%20180%5C%5C15x%2B25y%5Cge%203%2C750%5Cend%7Barray%7D%5Cright.)
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise ![\$(15\cdot 50+25\cdot 125)=\$3,875](https://tex.z-dn.net/?f=%5C%24%2815%5Ccdot%2050%2B25%5Ccdot%20125%29%3D%5C%243%2C875)
2x2x3=12 12x8=96 so the bale of hay weighs 96 pounds.