y = 2.95c + 6.85 shows the cost for Mrs. Franklin to go to a buffet with c of her grandchildren. 1. What is the y-intercept and what does it mean? 2. What is the slope and what does it mean? 3. If Mrs. Franklin paid $18.65 for the buffet, how many of her grandchildren did she take with her?

Using the form y = m x + b where b is the y-intercept and m the slop

1.    6.85 is the y-intercept- when c = 0 the value of y will be 6.85

2. the slope here is m = 2.95   that means for every increase of 1 on the x-axis which is c the value of y increases by 2.95 (additional cost of each child)

3. If no children were to go the cost would be 6.85 (c = zero)

So she paid 18.65 - 6.85 = 11.8 for the children that went

11.8 / 2.95 = 4    so 4 of her grandchildren  attended

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.