Question

question #7
the total cost, c, of belonging to two different gyms for m months is shown on the graph. what is the solution of the system? which is the best solution and explanation?
graph: membership cost ($) on y-axis (0, 150, 200, 220, 300), number of months on x-axis (0, 2, 4, 6). two lines: gym b and gym a intersecting.
a
the solution to the system is (4, 250). meaning that after 250 months, both gym a and gym b will have the same cost of $4.
b
the solution to the system is (250, 4). meaning that after 4 months, both gym a and gym b will have the same cost of $250.
c
the solution to the system is (4, 250). meaning that after 4 months, both gym a and gym b will have the same cost of $250.
d
the solution to the system is (250, 4). meaning that after 250 months, both gym a and gym b will have the same cost of $4.

Explanation:

The solution to a system of linear equations represented by graphs is the point where the two lines intersect. On this graph, the x-axis represents the number of months ($m$) and the y-axis represents the total cost ($c$). The lines for Gym A and Gym B intersect at the point $(4, 250)$, which means after 4 months, both gyms have a total cost of $250.

Answer:

C. The solution to the system is (4, 250). Meaning that after 4 months, both Gym A and Gym B will have the same cost of $250.