The table shows a relationship between x and y. What is the constant of proportionality, k, which relates the variable y to the variable x?

The table shows a relationship between x and y What is the constant of proportionality k which relates the variable y to the variable x class=

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Answer:

F. [tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Constant of proportionality, k, = [tex] \frac{y}{x} [/tex]

The ratio of each given of values on the table will give you the same value, which represents k.

Thus, using the pair, (2, 1.5), k can be calculated as follows:

[tex] k = \frac{y}{x} = \frac{1.5}{2} [/tex]

Multiply the numerator band denominator by 10 to eliminate the decimal point.

[tex] = \frac{1.5*10}{2*10} = \frac{15}{20} [/tex]

Simplify

[tex] k = \frac{3}{4} [/tex]