Question

x: number of minutes
y: number of steps
how many solutions does this system of equations have?
one solution
infinitely many solutions
no solution
(chart: kellan: y = 150 - 15x; luka: y = 10x, x-axis: minutes (0 - 9), y-axis: steps (0 - 135))

Explanation:

Step1: Analyze system of equations

The system has two linear equations: \( y = 150 - 15x \) (Kellan) and \( y = 10x \) (Luka). Linear equations represent straight lines.

Step2: Determine intersection

The solution of a system of linear equations is the point where their graphs intersect. From the graph, the two lines (Kellan's and Luka's) intersect at one point. So the system has one solution.

Answer:

One solution