Question

You will receive a $20 bonus check if you sell more than 24 new subscriptions to the newspaper this week. You will receive a $35 bonus if you sell 50 or more new subscriptions to the newspaper this week. Which inequality represents the range of subscriptions for which you will receive the $20 bonus?

Answer 1

24<x<50, where x is number of new subscriptions.

Explanation:

It is given that we will receive a $20 bonus check if you sell more than 24 new subscriptions to the newspaper this week.

It means,

bonus = $0 for less than or equal to 24 new subscriptions

bonus = $20 for more than 24 new subscriptions

We will receive a $35 bonus if you sell 50 or more new subscriptions to the newspaper this week.

It means

bonus = $20 for more than 24 or less than 50 new subscriptions

bonus = $35 for 50 or more new subscriptions

Let x be the number of new subscriptions.

The range of subscriptions for which we will receive the $20 bonus is

24<x<50

Therefore, the required inequality is 24<x<50.