Eldar cooks lasagna and spaghetti using pesto sauce.

let l represent the number of batches of lasagna and

s represent the number of batches of spaghetti that eldar can cook with the amount of pesto sauce he has.

0.9

l

+

0.3

s

≤

6

0.9l+0.3s≤60, point, 9, l, plus, 0, point, 3, s, is less than or equal to, 6

eldar cooks

4

44 batches of spaghetti. how many batches of lasagna can he cook at most with the remaining pesto sauce?

He can cook 52 or less than 52 batches of lasagna.

Step-by-step explanation:

0.9L+0.3S≤60

Putting the value of s = 44

0.9L+0.3 (44) ≤ 60

0.9L+ 13.2 ≤ 60

0.9L ≤ 60 -13.2

L ≤ 46.8/0.9

L ≤ 52

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.

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step-by-step explanation: