1. Marissa 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. Marissa can sell up to 8 framed photographs and 40 greeting cards each week, but this week, she only has $200 to spend on materials. Marissa hopes to earn a profit of at lest $400 this week after paying for her materials.
Let x = the number of framed photographs.
Let y = the number of greeting cards.
Two of the inequalities that model this situation are x ≤ 8 and y ≤ 40 .
A. Write two more inequalities to complete the system of inequalities modeling this situation.
B. Explain your inequalities and explain why x ≤ 8 and y ≤ 40 are also inequalities for this system.
C. Graph the solution set to your system of inequalities on a coordinate plane. Shade the area that represents the solution set.
D. Marissa plans to make and sell 5 framed photographs and 25 greeting cards. Is that a solution to the system of inequalities? If so, is it the solution that will produce the most profit? Explain your answers.
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no ideas on any of those questions?
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