Question

Find the value of y for a given value of x, if y varies directly with x.

If y = -252 when x = 84, what is y when x = 74?

Please explain with steps, thank you!

Answer 1

Answer:

Step-by-step explanation:

if x =1  y = ?

y = -252/84

y = -3

y = -3*74

y = - 222

we need to calculate the value of y when x =1

we have to divide the value of y by value of x by doing this we can get the value of y is -3 when x=1

when x = 74 we have to multiply the value of x & y (74 *-3)

so the answer is -222

OR

84 / -252 = 74 / y

84y = (-252)(74)

84y = -18,648

   y =  -18,648 / 84

   y = - 222

answer y = -222 when x = 74

Answer 2

The value of y is –222

From the question given above, we were told that y varies directly with x. This can be expressed mathematically as:

y ∝ x

Replacing the proportionality sign (∝), we have

y = Kx

K => constant of proportionality

Next, we shall determine the value of K. This can be obtained as follow:

y = –252

x = 84

K =?

y = Kx

–252 = K * 84

Divide both side by 84

$K = \frac{-252 }{84}$

K = –3

Finally, we shall determine the value of y when x = 74. This can be obtained as follow:

x = 74

K = –3

y =?

y = Kx

$y = - 3 * 74$

y = –222

Therefore, the value of y when x = 74 is –222

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