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

gdp is the best phrase!

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: