Question

if z is directly proportional to x and z = 5 when x = 7 , find value of z = 70

Answer 1

Answer:

x=98.

Step-by-step explanation:

Directly proportional means that when z goes up, z goes up by the same amount. 70/5=14, so z was multiplied by 14. Since x=7 and 7*14=98, x=98.

Answer 2

Answer:

x = 98 when z = 70.

Step-by-step explanation:

When two numbers are directly proportional it is defined as:

a = k × b

Where a is directly proportional to b, and k is a constant.

Therefore, in this problem:

z = k × x

When z = 5, x = 7, so we can use this to find k:

5 = k × 7

So,

$k = \frac{5}{7}$

So our equation now becomes:

$z \: = \frac{5}{7} \times x$

When z = 70, we have to find the value of x:

$70 \: = \frac{5}{7} \times x \\ 70 \times 7 = 5x \\ \frac{490}{5} = x \\ x = 98$

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