SOLUTION: Please help me solve this problem A student with two summer jobs earns $10 per hour at a cafe and $8 per hour at a market. The student would like to earn at least $800 per month.

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Question 967138: Please help me solve this problem
A student with two summer jobs earns $10 per hour at a cafe and $8 per hour at a market. The student would like to earn at least $800 per month.
a. Write and graph an inequality to represent the situation.
b. The student works at the market for 60 hours per month and can work at most 90 hours per month. Can the student earn at least $800 each month? Explain how you can use your graph to determine this.
I know that the problem set up like this $800 ≥ $10x + $8y but I need help on solving it please and thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+ = hrs worked at cafe
+y+ = hrs worked at market
----------------------------
(a)
+10x+%2B+8y+%3E=+800+
(b)
+y+=+60+
+x+%3C=+90+-+60+
+x+%3C=+30+
+10x+%2B+8%2A60+%3E=+800+
+10x+%3E=+320+
+x+%3E=+32+
----------------
No, student can't earn at least $800/month
If student works the maximum of +30+ hrs/month:
+10%2A30+%2B+8%2A60+=+300+%2B+480+
+300+%2B+480+=+780+
----------------------
Student needs to work 2 more hrs at cafe to
make 800/month