Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
These are the steps to solve this question. and I used Substitution to explain it.
1. Identify what you need.
2. Write out your two different equations.
30e + 115h = 1457 and e + h = 18
3. Identify witch way you would proceed. Substitution or Elimination.
4. Solve using you prefers way. for me I will use substitution. find either e first or h. this doesn't matter witch you start with.
5. Take one of the equations and get a variable alone. TIP: use the one share that variable stands alone.
6. When variable is alone. put what ever it equals on the other equation and solve. Do this once.
7. When solved take that answer and plug it into its desined spot and solve to find the other answer.
8. Alone both solutions from the answer to what e and h are.
4 + w > 8
hope that helped
Well you add them all up then divide by five, because thats how many days it was recorded, and the average is -1.2
