there were 7 roses in the vase. Jessica cut some more roses from her flower garden. there are now 15 roses in the vase. how many
1 answer:
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Answer: C) No, because one x-value corresponds to two different y-values.
Explanation:
At the bottom of the table, we see that x = 6 corresponds to y = 5 and y = 6 at the same time. Such a thing is not possible if we want a function to happen. A function is only valid when any x input leads to exactly one y output (assuming this x value is in the domain). We'd have to cross off either of these two rows to help make this table a function.
As a visual approach, you can plot each row as (x,y) points on the same coordinate grid. Then notice how (6,5) and (6,6) line up vertically, which means this collection of points fail the vertical line test, and this is a visual way to see why we don't have a function.
The first, type A, costs $267 and you make a $24 profit on each one.
The second, type B, costs $127 and you make a $20 profit on each one.
number of printers = 170
Let x be the number of type A printers
Let y be the number of type B printers
x + y < = 170
you need to make at least $3760 profit on them
profit for type A is 24 and type B is 20
so 24x + 20y >= 3760
Our constraints are
x + y < = 170
24x + 20y >= 3760
x>=0 and y>=0
Cost function is C= 267 x + 127 y
Now we graph all the constraints
Now we take all the end points
corner points are
(90,80), (156.667,0) (170,0)
We plug in each point in our cost function
C= 267 x + 127 y
(90,80) => 267(90) + 127(80) = 34,190
(156.667,0) => 267(156.667) + 127(0) = 41,830
5 (170,0)=> 267(170) + 127(0) = 41,390
Here minimum cost is 34,190 at (90,80)
So we order 90 printers of type A and 80 printers for type B in order to minimize the cost
