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 3 extra vegetables for $5.25. Erin bought a roast beef sandwich with 5 extra vegetables for $6.25. Which represents the y-intercept for Mauryn’s word problem? A (0, 0.50) B (0, 1.00) C (0, 1.50) D (0, 3.75)

Answer 1

correct option is D (0, 3.75)

Explanation:

given data

3 extra vegetables = $5.25

5 extra vegetables = $6.25

solution

we consider here price of sandwich is = y

and number of extra vegetable is = x

when we see on graph for 3 extra vegetable for $5.25 it is as passes through the point (3, 5.25)

and for 5 extra vegetable for $6.25 than it is as passes through the point (5,6.25)

so these equation will be when line passes through two points is

y - y1 =
`(y2 - y1)/(x2 - x1)(x - x1)` .............1

wee take here point (3,5.25) and (5,6.25)

so that here equation of line will be as

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

simply it we get

y = 0.5 x + 3.75

now we put here x = 0 to get y intersection

y = 0.5(0) + 3.75

y = 3.75

so

y intercept for is (0,3.75).

so correct option is D (0, 3.75)