Question

If z varies directly as x, z = 60 and x = 5,  what is z when x =8?​

Answer 1

Step-by-step explanation:

when z varies directly proportional to x means a division

c

=

z

x

where c is a constant of proportionality

when z varies inversely proportional to x it means a product

z

y

=

c

now with both

k

=

z

y

x

z

=

8

;

x

=

12

and

y

=

3

k

=

8.3

12

k

=

2

Answer 2

Answer:

The value of z is 96.

Step-by-step explanation:

Given:-

z varies directly as x, z = $60$ and x = $5$.

To find:-

The value of z when x = 8.

Step 1 of 1

Since z varies directly as x, i.e.,

z = kx _____ (1)

where k = variation constant.

As z = 60 and x = 5

So, substitute the values of z and x in the equation (1) as follows:

60 = k(5)

k = 60/5

k = 12

Thus, equation (1) becomes,

z = 12x _____ (2)

We need to find the value of z when x = 8.

Now,

Substitute the value x = 8 in the equation (2), we get

z = 12(8)

z = 96

Final answer: The value of z is 96.

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