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Mauryn wrote the following word problem to represent a linear function. sandwiches at King sandwich cost the same amount and include bread, meat, cheese, lettuce, and tomato. all other vegetables are extra Sam bought a chicken sandwich with three extra vegetables for $5.25 Aaron bought a roast beef sandwich with five extra vegetables for $6.25. Which represents the y intercept for Mauryns word problem?

A.(0,0.50)
B.(0, 1.00)
C.(0, 1.50)
D.(0,3.75)​

User Thurizas
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2 Answers

2 votes
The answer is c.(0,1.50) because $5.25 and $6.25 if u use a calculator u will see your answer
User Daniel Hardt
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2 votes

Answer:

Option D

Explanation:

Let y be the price of sandwich and x be the number of extra vegetables.

It is given that Sam bought a chicken sandwich with three extra vegetables for $5.25. It means the graph passes through the point (3,5.25).

Aaron bought a roast beef sandwich with five extra vegetables for $6.25. It means the graph passes through the point (5,6.25).

If a line passes through two points
(x_1,y_1) and
(x_2,y_2), then the equation of line is


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

The line passes though the points (3,5.25) and (5,6.25), so the equation of line is


y-5.25=(6.25-5.25)/(5-3)(x-3)


y-5.25=0.5(x-3)


y-5.25=0.5x-1.5

Add 5.25 on both sides.


y=0.5x-1.5+5.25


y=0.5x+3.75

Substitute x=0 in the above equation, to find the y-intercept.


y=0.5(0)+3.75


y=3.75

y intercept for Mauryns word problem is (0,3.75).

Therefore, the correct option is D.

User Colcarroll
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8.0k points

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