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ANSWER

[tex]y = 7[/tex]

EXPLANATION

If y varies directly with x, we write the mathematical statement;

[tex]y \propto \: x[/tex]

When we introduce the constant of proportionality k, then we write the equation,

[tex]y = kx[/tex]

If y is 2.5 when x is 5,then we have;

[tex]2.5 = 5k[/tex]

[tex]k = \frac{2.5}{5} [/tex]

[tex]k = 0.5[/tex]

The equation of variation then becomes;

[tex]y = 0.5x[/tex]

when x=14,

[tex]y = 0.5(14)[/tex]

[tex]y = 7[/tex]

imlittlestar

Answer:

The correct answer is, y = 7

Step-by-step explanation:

It is given that,If y is 2.5 when x is 5 and i varies directly with x

To find the relationship between x and y

From the given data, we can write,

x = 5 the y = 2.5

2.5 = 5/2

Therefore y = x/2

To find the value of y

x = 14

y = x/2 = 14/2 = 7

Therefore the correct answer is, y = 7

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