Question

Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show a proportional relationship?

Answer 1

C) The third table. K= 5

`C)(10)/(2)=(15)/(3)=(25)/(5)=(40)/(8)=k= 5`

Explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

`k=(y)/(x)`

2)In this case, when we divide the temperature (T) by the time (h).

`k=(T)/(h)`

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

`A) (12)/(3)\\eq(25)/(5)\\eq(36)/(6)\\eq(81)/(9)\\B) (22.5)/(3)\\eq(30)/(4)\\eq(52.5)/(7)\\eq(67.5)/(8)\\C)(10)/(2)=(15)/(3)=(25)/(5)=(40)/(8)=k= 5\\D)(8.5)/(2)\\eq(22.5)/(5)\\eq(28.5)/(7)\\eq(36)/(8)`