Question

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you

get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answer 1

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.