Mathematics
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OpenStudy (anonymous):
Linear inequalities question?
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OpenStudy (anonymous):
Here is the problem
jimthompson5910 (jim_thompson5910):
x = # of bears
y = # of dogs
jimthompson5910 (jim_thompson5910):
bears cost $6 each, so x of them cost 6x dollars
dogs cost $4 each, so y of them cost 4y dollars
jimthompson5910 (jim_thompson5910):
all together, x bears and y dogs cost a total of 6x+4y dollars
jimthompson5910 (jim_thompson5910):
what's next?
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OpenStudy (anonymous):
I got up to there
jimthompson5910 (jim_thompson5910):
if c is the total cost, then c must be between 80 and 170, so
80 <= c <= 170
OpenStudy (anonymous):
it says it needs to be not more then $170 but at least $80
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
the 2nd equations would have to be 6x + 4y = c
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jimthompson5910 (jim_thompson5910):
the total cost is c = 6x+4y
jimthompson5910 (jim_thompson5910):
so...
80 <= c <= 170
80 <= 6x+4y <= 170
jimthompson5910 (jim_thompson5910):
80 <= 6x+4y <= 170
80 <= 2(3x+2y) <= 170
80/2 <= 2(3x+2y)/2 <= 170/2
40 <= 3x+2y <= 85
OpenStudy (anonymous):
Okay I got it thanks!!
jimthompson5910 (jim_thompson5910):
yw
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OpenStudy (anonymous):
would I do the same thing for this problem
jimthompson5910 (jim_thompson5910):
oh wait, they want 2 inequalities, so you have to break 80 <= 6x+4y <= 170 up into
6x+4y >= 80
and
6x+4y <= 170
jimthompson5910 (jim_thompson5910):
yes you would