Question

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answer 1

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

$10 + 5x=y$

Now, it is given that his goal is minimum of 50 countries.

So,

$10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8$

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.