Write the number of the word problem that match the system of equations illustrated: marcus and his friend are having a final four party. marcus buys 5 burgers and 9 sodas for $28.75 at the beefy burger joint. when five more of his friends show up he heads back to beefy burger for 10 more burgers and 10 more sofas and spends $47.50

5b + 9s = 28.75

10b + 10s = 47.5

Multiply all terms in equation #1 by 2.

10b + 18s = 57.5

Subtract both equations from each-other.

8s = 10

Divide both sides by 8.

s = 1.25

The cost of a soda is 1.25, and because we know this, we can plug it into either equation to solve for the cost of b, a burger.

5b + 9(1.25) = 28.75

5b + 11.25 = 28.75

Subtract 11.25 from both sides.

5b = 17.5

Divide both sides by 5.

b = 3.5

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the answer to your question a or b but i am pretty sure it is b. i hope this : )

step-by-step explanation: