Question

If c is proportional to b and c= 14 when b= 7. Find the value if c given b= 8

The person with correct answer would be marked as brainliest❤​

Answer 1

Answer:

the value of c when b is 8 = 16

Step-by-step explanation:

14/7 = c/8

so 14 × 8 /7 = c

16 = c

hope it helps :)

Answer 2

Answer:

16

Step-by-step explanation:

Aim: To find the value of c in the given ratio

Given:

c : b = 14 : 7

b = 8 : c = ?

Now, let's 1st simplify 14:7:

$\frac{14}{7} = \frac{2}{1}$

Why fractions???

Ratios can be expressed in the form of fractions as well, i.e. $a:b = \frac{a}{b}$.

From 2:1, we can say that b = 1 and c = 2

Next, we must multiply b such that it will be 8:

b = 1 × 8 = 8

Now, since we have multiplied b with 8, we must also multiply c with 8. This is because we must find the equivalent ratio, just like we find equivalent fractions. So that will be:

c = 2 × 8 = 16

Therefore, the value of c is 16 and the ratio is 16:8.

Recap:

• We have 1st simplified the initial ratio, i.e. 14:7
• We then multiplied both b and c with 8.
• Reasoning for point 2: When such questions are expressed in the form of fractions, we find equivalent fractions and so, we did that same here, but with the ratio.
• The main reason we got this answer is because b and c are directly proportional.

_________________________

Hope it helps ☺