The equation is y = 11.6*x, and the complete table is:
x: 0.5, 1, 1.5, 2
y: 5.8, 11.6, 17.4, 23.2
How to make the table?
We know that Miguel rode his byje for 2.5 hours and traveled a distance of 29 miles, then his speed is:
k = 29mi/2.5h = 11.6 mi/h
Then the distance as a function of time is:
y = 11.6*x
Where y is the time in hours.
Now we want to commplete the table for the times .5 hours, 1 hour, 1.5 hours, and 2 hours, to do so, we need to evaluate the equation:
if x = 0.5
y = 11.6*0.5 = 5.8
if x = 1
y = 11.6*1 = 11.6
if x = 1.5
y = 11.6*1.5 = 17.4
if x = 2
y = 11.6*2 = 23.2
The table is:
x: 0.5, 1, 1.5, 2
y: 5.8, 11.6, 17.4, 23.2