can someone correct this for me please.
Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has.
so my answer will be:
2.50x + 5.5y <= 500
where the amount is less than or equal to $500
yes. The real fun part of this is later on in math, when you get a profit function for each plant: then the question is what combination she should buy to maximize profits.
awsome thank you
Yes, your answer is correct! The inequality 2.50x + 5.5y <= 500 represents the total cost Linda can spend on blueberry bushes (x) and peach trees (y) combined, which should be $500 or less. This inequality ensures that Linda does not exceed her budget.
To depict this combination graphically, you need to create a graph with blueberry bushes (x) on the x-axis and peach trees (y) on the y-axis. Since the inequality is less than or equal to, the region below the line on the graph represents the valid combinations of blueberry bushes and peach trees that Linda can buy within her budget.
To draw the graph:
1. Set up a coordinate system with the x-axis labeled "blueberry bushes (x)" and the y-axis labeled "peach trees (y)."
2. Plot the points (0,0), (0, 90), (100, 0) on the graph.
3. Connect these points to form a triangle.
4. Shade the region below the line formed by connecting these points.
This shaded region represents the different combinations of blueberry bushes and peach trees Linda can buy within her budget of $500 or less.
As you mentioned, in future math studies, you may encounter profit functions where the goal is to maximize profits. In such cases, you would need to consider the costs as well as the revenue generated by selling the fruit-bearing plants to determine the combination that results in the maximum profit.