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Mrs. valdez can assemble a chair in 1 day and a table in 4 days. Graph the function y=5-1/4x to determine how many of each type of furniture mrs. valdez can assemble in 20 days. Is the function continuous os discrete? Explain

Respuesta :

I will give you the points so that you can draw the graph

                             x                                                        y
(number of chairs assempled in 20 days)  (number of tables assembled in 20 days)

0                                                                         5
4                                                                         4
8                                                                         3
12                                                                       2
16                                                                       1
20                                                                       0 

Then the graph of the function y = 5 - x/4 will pass for all those points. It will intersect the y-axis at 5 and the x-axis at 20. Note that this mean tha if she makes 0 chairs she will make 5 tables, and if she makes 20 chairs she will make 0 chairs.

The function y = 5 - 4/x is continuos, but the real function of assembly is discrete, because she cannot assemble a fraction of chairs or a fraction of tables.