Hurryy i am begging for ive been stuck for an hour
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)

Step-by-step explanation:

(1,2)(2,7)

slope = (7 - 2) / (2 - 1) = 5/1 or just 5

y = mx + b

slope(m) = 5

use either of ur points (1,2)...x = 1 and y = 2

now we sub and find b, the y int

2 = 5(1) + b

2 = 5 + b

2 - 5 = b

-3 = b

so ur equation is : y = 5x + (-3)...or it can also be written as : y = 5x - 3

(1,2)(2,7)

slope = (7 - 2) / (2 - 1) = 5/1 or just 5

y = mx + b

slope(m) = 5

use either of ur points (1,2)...x = 1 and y = 2

now we sub and find b, the y int

2 = 5(1) + b

2 = 5 + b

2 - 5 = b

-3 = b

so ur equation is : y = 5x + (-3)...or it can also be written as : y = 5x - 3

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Step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.