For the proportional relationship, we have found that:
a) The complete table is:
x y
14 21
64 96
26 39
1 3/2
b) The equation is:
y = (3/2)*x
Working with proportional relationships.
A proportional relationship between two variables can be written as:
y = k*x
Where k is the constant of proportionality.
a) If we look at the table we can see the pair (14, 21), replacing that in the proportional relation we have:
21 = k*14
(21/14) = k
(3/2) = k
Then the equation is:
y = (3/2)*x
To complete the table, we need to evaluate the other values in the given equation.
for x = 64 we have:
y = (3/2)*64 = 96
for y = 39 we have:
39 = (3/2)*x
x = (2/3)*39 = 26
For x = 1 we have:
y = (3/2)*1 = 3/2
Then the complete table is:
x y
14 21
64 96
26 39
1 3/2
b) We already found the equation, it is:
y = (3/2)*x
c) Just graph the above pairs (the ones from the table) and connect them with a line, an example can be seen below.
If you want to learn more about proportional relationships you can read:
https://brainly.com/question/12242745
