Determine whether the relationship between the two quantitie

Determine whether the relationship between the two quantities in the table is proportional. Explain your reasoning. What is the slope of the line that passes through points R and T?

Solution

Given is a table of bicycle rental.

Need to find whether the given data is proportional.

The relation between two quantities is not proportional.Because the ratio Hours/Cost for each hour is not equal

If all the ratios are same then only the two quantities are proportional.

For 0 hour, 0/12.50 = 0

For 1 hour, 1/17.50 = 0.057

For 2 hours, 2/22.50 = 0.08889

For 3 hours, 3/27.50 = 0.109

The ratios are unequal.

So, the two quantities are not proportional.