Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1. This system of inequalities models the scenario:

2x + y ≤ 8
x + y ≥ 4

Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points) PLs make it neat so I can understand

Given : Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.

To Find : Form System of inequalities

Solution:

number of  cupcakes  = x

number of  fudge  = y

2x + y  ≤ 8

x + y ≥ 4

Solution of the system lies with in the triangle formed by points

(0 , 4) , ( 0 , 8)  , (  4, 0)

point (8, 10) is not included in the solution area for the system

as 2(8) + 10  = 26 >  8

(0 , 4)

She will buy  4 fudges only for 4 siblings in Rs 4

(  4, 0)

She will buy  4 cupcakes only for 4 siblings in Rs 8

( 0 , 8)

She will buy  8 fudges only for 4 siblings ( 2 for each )  in Rs 8

If she has to buy  maximum then ( 0 , 8) is best suited

if she has to spend minimum then ( 0 , 4) is best suited

Step-by-step explanation:

Given : Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.  

To Find : Form System of inequalities  

Solution:  

number of  cupcakes  = x  

number of  fudge  = y  

2x + y  ≤ 8  

x + y ≥ 4  

Solution of the system lies with in the triangle formed by points  

(0 , 4) , ( 0 , 8)  , (  4, 0)  

point (8, 10) is not included in the solution area for the system  

as 2(8) + 10  = 26 >  8  

(0 , 4)  

She will buy  4 fudges only for 4 siblings in Rs 4  

(  4, 0)  

She will buy  4 cupcakes only for 4 siblings in Rs 8  

( 0 , 8)  

She will buy  8 fudges only for 4 siblings ( 2 for each )  in Rs 8  

If she has to buy  maximum then ( 0 , 8) is best suited  

if she has to spend minimum then ( 0 , 4) is best suited  

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

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