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vodka [1.7K]
3 years ago
8

If y is 2.5 when x is 5 and i varies directly with x, find y when x is 14 ?

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

ANSWER

y = 7

EXPLANATION

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

y \propto \: x

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

y = kx

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

2.5 = 5k

k =  \frac{2.5}{5}

k = 0.5

The equation of variation then becomes;

y = 0.5x

when x=14,

y = 0.5(14)

y = 7

sergij07 [2.7K]3 years ago
4 0

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

<u>To find the relationship between x and y</u>

From the given data, we can write,

x = 5 the y = 2.5

2.5 = 5/2

Therefore y = x/2

<u>To find the value of y</u>

x = 14

y = x/2 = 14/2 = 7

Therefore the correct answer is, y = 7

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