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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)​

Answer :

cjenkins20560
The answer is c.(0,1.50) because $5.25 and $6.25 if u use a calculator u will see your answer

Answer:

Option D

Step-by-step 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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

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

[tex]y-5.25=\frac{6.25-5.25}{5-3}(x-3)[/tex]

[tex]y-5.25=0.5(x-3)[/tex]

[tex]y-5.25=0.5x-1.5[/tex]

Add 5.25 on both sides.

[tex]y=0.5x-1.5+5.25[/tex]

[tex]y=0.5x+3.75[/tex]

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

[tex]y=0.5(0)+3.75[/tex]

[tex]y=3.75[/tex]

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

Therefore, the correct option is D.

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