At the same rate, 31 inches of wire will cost 124 cents.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
2 answers:
Answer:
Valid solution: (35,5)
Time constraint: x+y≤40
Earning constraint: 25x+15y≥900
Step-by-step explanation:
x denote the number of hours Chris spends tutoring.
and y denotes the number of hours he spend referring.
It is given that:
- Chris can work a maximum of 40 hours per week.
so, the inequality that can be formed using this information is:
x+y≤40.
( Since he can't work more than 40 hours per week )
Similarly,
- His tutoring job pays $25 per hour and he also makes $15 per hour refereeing soccer matches.
He needs to make atleast $ 900 in order to cover his expenses.
So, the inequality is:
25x+15y≥900
Hence , we plot the graph of these system of inequalities to find the solution.
We see that the point:
(35,5) lies on the boundary line and hence it is a valid solution to the system of inequalities.
whereas the point (32,9) lies out of the feasible region and hence is not a valid solution.
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Step-by-step explanation:
A. . Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND
, or any number you like. But yesterday was 3/14 so let's pick a fun number!
B. Or
. Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind
C. . To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.