Question

If b varies inversely as h and b =8 ,when h = 5, find b when h =4​

Answer 1

As

`\\ \sf\longmapsto b\propto (1)/(h)`

`\\ \sf\longmapsto b1h1=b2h2`

`\\ \sf\longmapsto 8(5)=4b_2`

`\\ \sf\longmapsto 4b_2=40`

`\\ \sf\longmapsto b_2=10`

Answer 2

• 10

Explanation:

b varies inversely as h, the equation is:

• b = k / h, where k is the coefficient

b = 8 when h = 5, find the value of k:

• 8 = k / 5
• k = 8*5
• k = 40

The equation is now:

• b = 40 / h

Find b when h = 4:

• b = 40 / 4
• b = 10