What is the slope of this line? A) 3 B) -3 C) 1/3 D) -1/3
2 answers:
Answer:
-3
Step-by-step explanation:
Slopes are done in "Rise over Run"
Meaning the fraction means the slope will cause the line to "Rise" 1 and "Run" 3
3 is the same thing as
And so it can be said it "Rises" 3 and "Runs" 1
In this case though it is negative, but that doesn't change the way slope works, other than the direction it goes in.
You can tell that since the more the line goes to the right, the more it goes down, it is a negative sloped graph.
and so since it "Rises" -3 for every 1 that it goes right,
the slope is -3
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For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:
It is also known that 25 hours per week are available for sewing, that is:
It has a system of two equations with two unknowns, solving we have:
Multiplying the second equation by -1:
Adding up:
Substituting x in the first equation:
Clearing and:
Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits