Question

The value of y varies directly with c. If x = 2, then y = 7. Find the value of x if y = 84.​

Answer 1

Answer:

x=24

Step-by-step explanation:

y = x*c

x=2, y=7

2*c=7 => c=7/2

x*7/2 = 84

x = 84*2/7

x = 12*2

x = 24

Answer 2

Since the value of y is directly proportional to the value of x, when y = 84, x is equal to 24.

Given the following data:

• x = 2

• y = 7

To find the value of x if y = 84:

Since the value of y varies directly with x.

This ultimately implies that, the value of y is directly proportional to the value of x.

Mathematically, this is represented as follows:

$y\; \alpha \;x\\\\y=kx$

First of all, we would determine the constant of proportionality (k).

Substituting the given parameters into the formula, we have;

$7=k2\\\\k = \frac{7}{2}$

Now, we can solve for x when y = 84:

$y = kx\\\\84=\frac{7}{2} x\\\\7x = 84\times 2\\\\7x = 168\\\\x= \frac{168}{7}$

x = 24

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