Question

Which equation represents the proportional relationship in the table?

Answer 1

The equations has the form:
c=mt, where m is the constant of proportionality
If we isolate m in the equation above:
c=mt
c/t=mt/t
c/t=m
m=c/t
m is c divided by t
If we take the values of the table, and divide c by its correspondent t, we get:
m=c/t=25.50/3=34.00/4=42.50/5=51.00/6=59.50/7→m=8.5
Then: c=8.5t
Answer: The equation that represents the proportional relationship in the table is: Second option