Michele is a photographer. She sells framed photographs for $100 each and greeting cards for $5 each. The materials for each framed photograph cost $30, and the materials for each greeting card cost $2. Michele can sell up to 8 framed photographs and 40 greeting cards each week, but this week she has only $200 to spend on materials. Michele hopes to earn a profit of at least $400 this week after paying for materials. Let x = the number of framed photographs and y= the number of greeting cards Michele will make and sell this week.

Question

Michele is a photographer.  She sells framed photographs for $100 each and greeting cards for $5 each.  The materials for each framed photograph cost $30, and the materials for each greeting card cost $2.  Michele can sell up to 8 framed photographs and 40 greeting cards each week, but this week she has only $200 to spend on materials.  Michele hopes to earn a profit of at least $400 this week after paying for materials.  Let x = the number of framed photographs and y= the number of greeting cards Michele will make and sell this week.
Write a number on each blank line in the following statement to make it true.
Two of the inequalities that model this situation are
x< ___________ and y < ___________
Write two more inequalities to complete the systems of inequalities modeling the situation.

oobleck · Answer

cost for x photos = 30x cost for y photos = 2x income for x photos = 100x income for y cards = 5y see what you can do with that