Question

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 1

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

Answer 2

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.