Question

two plans are represented by a system of equations. the solution to the system is (3, 15) what does the point (3,15) represent in this situation? . both plans start at $15 the slope of each plan is 3 after 3 units, both plans cost $15 the plans never have the same cost

Explanation:

In a system of equations representing two plans (e.g., cost - quantity or time - cost plans), the solution \((x,y)\) means when the independent variable (like number of units, time) is \(x\), both plans have the same value (like cost) \(y\). Here, \(x = 3\) and \(y=15\), so it means after 3 units (of whatever the independent variable represents, like 3 months, 3 items), both plans cost \$15.

• For the first option: If both started at \$15, the \(x\) - value (the first coordinate) would be 0, not 3.
• For the second option: The slope is related to the rate of change, and the solution point \((3,15)\) doesn't give information about the slope directly.
• For the fourth option: The solution of the system means the plans do have the same cost at that point, so this is wrong.

Answer:

After 3 units, both plans cost \$15 (the corresponding option description)