A carpenter makes custom chairs. He currently has 11 chairs in his showroom. If he can build 2 chairs each week, how many weeks will it take him to have a total of 23 chairs?

The correct answer is 6 weeks.

Step-by-step explanation:

The carpenter has currently 11 chairs in his show room.

He intend to have a total of 23 chairs.

Therefore the carpenter have to make 23 - 11 = 12 more chairs to meet his expectation of 23 chairs.

Rate at which he makes the chair = 2 chairs per week.

Number of weeks the carpenter would take to make 12 chairs = weeks = 6 weeks.

Thus the carpenter would take 6 more weeks to make 12 extra chairs and thus have a total of 23 chairs.

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.

b

step-by-step explanation:

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