mauifrifer3986
24.01.2020 •
Mathematics
Sebastian is working to summer jobs, making $8 per hour walking dogs and $10 per hour clearing tables. in a given week, he can work no more than 12 total hours and must earn a minimum of $100. if x represents the number of hours walking dogs and y represents the number of hours clearing tables, right and solve a system of inequalities graphically and determine one possible solution.
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Ответ:
The graph in the attached figure
One possible solution is the ordered pair (3,8)
see the explanation
Step-by-step explanation:
Let
x ---> the number of hours walking dogs
y ----> the number of hours clearing tables
we know that
He can work no more than 12 total hours
so
----> inequality A
He must earn a minimum of $100
so
----> inequality B
Solve the system of inequalities by graphing
using a graphing tool
The solution is the triangular shaded area
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie in the shaded area of the solution set (the ordered pair makes true both inequalities)
so
One possible solution is the ordered pair (3,8)
That means
In the given week, the number of hours walking dogs was 3 and the number of hours clearing tables was 8
Verify algebraically
Substitute the value of x and the value of y in the inequality A and in the Inequality B
inequality A
----> is true
Inequality B
---> is true
therefore
the ordered pair (3,8) is a possible solution of the system
Ответ:
=0.5x10x7x6
=210cm^3