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)

Respuesta :

the answer you are looking for is A 

Answer:

The correct answer is option a.

Step-by-step explanation:

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

[tex]x\propto y[/tex]

[tex]x=ky[/tex]

k = proportionality constant

From data take :

x = 15 , y = 3

[tex]\frac{15}{3}=k[/tex]

k = 5

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

a) [tex]\frac{10}{2}=5[/tex]

k = 5

b) (40, 9)

[tex]\frac{40}{9}\neq 5[/tex]

c) (50, 38)

[tex]\frac{50}{38}\neq 5[/tex]

d) (100, 76)

[tex]\frac{100}{76}\neq 5[/tex]

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