Question

A linear relationship is shown in the table.

Time (hours) 2 4 6 8
Distance (miles) 8 16 24 32


Is the linear relationship also proportional? Explain.

Answer 1

Yes. The ratio distance/time is constant: 8/2 = 16/4 = 24/6 = 32/8 = 4. So distance = 4 × time (y = 4x), a line through the origin. That constant ratio (and b = 0) means the relationship is proportional.