Question

A Call centre has 5 people answering calls. To answer all of the calls, each person needs to work at a rate of 14 calls per hour.

At what rate would 7 people need to work to answer the same number of calls.

Someone help right now please

Answer 1

7 people need to work at a rate of 10 calls per hour.

Explanation:

Indirect proportion:

If the number of people working increases, the number of calls per hour will decrease.

Let x be the number of people working and y be the number of calls per hour.

x₁ = 5 people ; y₁ = 14 calls per hour

x₂ = 7 people ; y₂ = ?

By inverse product rule,

x₁ * y₁ = x₂ * y₂

5 * 14 = 7 * y₂

`\sf y_2=(5*14)/(7)`

= 5*2

= 10

7 people need to work at a rate of 10 calls per hour.