Final answer:
The algebraic relationship between x and y, given x=5t and y=2t-1, is y = (2/5)x - 1. This indicates that y is a linear function of x with a slope of 2/5 and a y-intercept of -1.
Step-by-step explanation:
To find the algebraic relationship between x and y given x=5t and y=2t-1, we first solve one of the equations for t and then substitute that into the other equation. We can solve the first equation for t:
t = x/5
Now substituting this into the second equation for y:
y = 2(x/5) - 1
y = (2/5)x - 1
This equation represents the algebraic relationship between x and y. The equation is in the form of a straight line y = mx + b, where m represents the slope and b represents the y-intercept.