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9514 1404 393

  40 minutes

Step-by-step explanation:

The lines are graphed. The point of intersection (A) is where the two sign makers will have made the same number of signs in the same number of minutes. The answer to the question is the x-coordinate of that point, 40 minutes.

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The equation you want to solve is the one that sets Kiran's y-value equal to Lin's y-value

  y = y

  1/2x +5 = 1/4x +15

  1/4x +5 = 15 . . . . . . . . subtract 1/4x

  1/4x = 10 . . . . . . . . . . . subtract 5

  x = 40 . . . . . . . . . . . . multiply by 4

At 40 minutes, both will have the same number of signs made.

Alternate solution

Often, you are told to "clear fractions" as a first step in solving equations containing fractions. Here, you would do that by multiplying both sides by 4.

  1/2x +5 = 1/4x +15

  2x +20 = x + 60 . . . . . multiply by 4

  x + 20 = 60 . . . . . . . . . subtract x

  x = 40 . . . . . . . . . . . . . subtract 20

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.

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3