Sarah is planning to spend a week at her friend’s summer house in miami beach. all meals will be provided by her friend’s parents, but sarah still needs at least $500 to pay for her airfare and personal expenses for the week. she is selling bracelets and earrings to fund her trip. a graph representing this situation is shown below.

questions:
1.this region represents the combinations of bracelets and earrings that sarah must sell in order to get a minimum of $500 profit to pay for her trip.
2.this region represents the area where sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.
3.this region represents the area where sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.

graph below ∨

Given:
x > 50
2x + 3y > 500

Bracelet is represented by x.
Earrings is represented by y.

Since x > 50 let us assume that x = 50 to get the value of y in the inequality equation.

2x + 3y       > 500
2(50) + 3y  > 500
100 + 3y    > 500
-100             -100
         3y     > 400
          ÷3         ÷3
           y     > 133 1/3

x > 50 ; y > 133 1/3

Let us assume that no bracelet was sold. x = 0 ; y =? 

2x + 3y     > 500
2(0) + 3y   > 500
0     + 3y   > 500
       ÷ 3          ÷3
            y   > 166 2/3

Let us assume that no earrings was sold; y = 0 ; x = ?
2x + 3y   > 500
2x + 3(0) > 500
2x + 0     > 500
2x           > 500
÷2               ÷2
x             > 250

Let us assume that we sold have of each item.
x = 250/2 = 125 ; y = 166 2/3 ÷ 2 = 100

2x + 3y              > 500
2(125) + 3(100) > 500
250 + 300         > 500
550                   > 500

To get at least $500, Sarah needs to sell at least 100 bracelets and 100 earrings.

Technically speaking, histograms are another version of bar charts, if you need to work one out then skim through google hope-o that -o!