Question

In March, there will be two conferences: one for math and one for history. So far, 7 people have signed up for the math conference and two more people sign up each day. There are 11 people who have signed up for the history conference, but only one more person signs up each day. After how many days will the number of people attending both conferences be the same?

Answer 1

After 4 days, the number of people attending both conferences be the same.

Explanation:

We are given the following in the question:

Maths conference:

Number of people already signed = 7

Number of people who sign up each day = 2

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

`f(x) = 7+2x`

History conference:

Number of people already signed =11

Number of people who sign up each day = 1

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

`g(x) =11+x`

Both conference will have same number of people when

`f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4`

Thus, after 4 days, the number of people attending both conferences be the same.