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BARSIC [14]
4 years ago
9

Cathy bought 2 jars of sauce for $3, what is the constant of proportionality in this situation

Mathematics
2 answers:
Lady_Fox [76]4 years ago
7 0
$1.50 per 1 jar of sauce I found this by dividing both values by 2.

Hope this helps :)
FinnZ [79.3K]4 years ago
5 0
3 divided by 2 = 1.50
So it would be $1.50
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An anthropology article presents a hypothetical situation that could be described by a linear programming model. Suppose a popul
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Answer:

The minimum  labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.

Step-by-step explanation:

We assume that x should represent the number of units of plants

Also y to represent the number of animals.

So, minimze (z) = 30 x + 15 y

Subject to:

30 x + 20 y ≥  360  

10  x + 25 y ≥ 300

               y  ≤ 8

 0  ≤  x  ≤ 25

 0  ≤  y  ≤ 25

Changing the above linear inequalities into linear equation; we have:

30 x + 20 y =  360  

10  x + 25 y = 300

               y  = 8

The graph for the above discussion can be located in the attached diagrammatic expression below:

NOW, the corner points (0,18),(0,25),(25,25), and (25,8) can be calculated from the graph. From the diagram, the corner point  [\frac{60}{11} , \frac{108}{11} ] can be found by solving the system.

30 x + 20 y =  360  

10  x + 25 y = 300

Corner point (10, 8) = 10 x + 25 y = 300

                                                   y  = 8

Corner point                               Value of z = 30 x + 15 y

(0,18)                                            270

(0,25)                                           375

(25,25)                                         1125

(25,8)                                            870

[\frac{60}{11} , \frac{108}{11} ]                                          \frac{3420}{11} ≅ 310.91

(10, 8)                                            420

∴

The minimum  labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.

8 0
3 years ago
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