Question

A scientist measured the water temperature at different depths. She made a table showing her findings. The x-values represent the depth, in feet. The y-values represent the temperature in degrees Celsius.

x y
0 0
15 3
30 6

Assuming there is a proportional relationship, which additional set of values could be included in the table?
a (10, 2)
b (40, 9)
c (50, 38)
d (100, 76)

Answer 1

the answer you are looking for is A 

Answer 2

The correct answer is option a.

Explanation:

Given that there is a proportional relationship between x and y.

`x\propto y`

`x=ky`

k = proportionality constant

From data take :

x = 15 , y = 3

`(15)/(3)=k`

k = 5

From the given options, set which will give ratio equal to 5 can be included;

a)
`(10)/(2)=5`

k = 5

b) (40, 9)

`(40)/(9)\\eq 5`

c) (50, 38)

`(50)/(38)\\eq 5`

d) (100, 76)

`(100)/(76)\\eq 5`

Additional set of values could be included in the table is (10,2).