x=10+15t

Here are the key points about the relation x = 10 + 15t.

• It’s a linear function of t with slope 15 and intercept 10.

• If t is time, then:

  • dx/dt = 15, so velocity is constant 15 (units per time).
  • a = 0 (no acceleration).

• Solve for t in terms of x: t = (x − 10) / 15.

• Example values:

  • t = 0 → x = 10
  • t = 1 → x = 25
  • t = 2 → x = 40
  • t = −1 → x = −5

• Graph: a straight line with slope 15, crossing the x-axis (x = 0) at t = −2/3, and crossing the t-axis (t = 0) at x = 10.

If you have a specific task (e.g., find t for a given x, or interpret as a position-time relation in a physics problem), tell me and I’ll tailor it.