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

Answer:

The correct answer is option a.

Step-by-step 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

$\frac{15}{3}=k$

k = 5

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

a) $\frac{10}{2}=5$

k = 5

b) (40, 9)

$\frac{40}{9}\neq 5$

c) (50, 38)

$\frac{50}{38}\neq 5$

d) (100, 76)

$\frac{100}{76}\neq 5$

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