Question

The table shows the rates for sending text messages. Are the rates proportional? Explain.

Answer 1

Yes

Explanation:

Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed

For one this has a constant rate of change which is 3 dollars per 25 messages

Now we just have to find out if it would go through the origin (0,0)

To do so we subtract 3 dollars and then 25 messages

6-3=3

50 - 25 =25

then again 25-25=0

3-3=0

concluding that (0,0) is a solution

Thus meaning that this is a proportional relationship