Question

3.You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week.
If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week?

Answer 1

This is the answer
8x + 10y >= 200

Answer 2

Answer:

Given :

At the Burger Palace you earn $8 per hour.

At the community center you teach soccer clinics for $10 per hour.

You want to earn at least $200 a week.

To Find: which graph shows all the ways you can earn at least $200 a week?

Solution:

Let x is the number of hours you work at Burger Palace

At the Burger Palace you earn $8 per hour.

So, At the Burger Palace you earn in x hour = 8x

Let y is the number of hours you work

At the community center you teach soccer clinics for $10 per hour.

So, At the community center you teach soccer clinics earns in x hour = 10x

Now we are given that  You want to earn at least $200 a week. (i.e. $200 or more than $200)

So, equation becomes:$8x+10y\geq 200$

At x = 0

$8(0)+10y\geq 200$

$y\geq 20$

At y = 0

$8x+10(0)\geq 200$

$x\geq 25$

Thus the points are (0,20) and (25,0)

At(0,0)

$8(0)+10(0)\geq 200$

$0\geq 200$  False

Thus the feasible region is away from the origin

So, Option 2 graph is true (Figure attached).