The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050
points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18{,}00018,00018, comma, 000 or more points to do so. Write an inequality to determine the number of seven-letter words, www, Sal could make to break the record.
Each seven-letter word is worth 50 points. words are then worth .
Since Sal gets 100 points for playing the game, his points total after words is . If he wants to break the record, he must get, at least, 18000 points. "At least" in inequality means (just as "at most" means ). Then the required inequality is
.
Note that the question says "18000 or more", which is why we used the symbol. If the phrase had been "more than 18000", we would have used .
(a <em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>+</u></em><em><u>7</u></em><em><u>a</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>)</u></em><em><u> </u></em><em><u>÷</u></em><em><u>(</u></em><em><u>a</u></em><em><u>+</u></em><em><u>3</u></em><em><u>)</u></em>
one of two<span> fixed points inside an ellipse from which the </span>sum<span> of the </span>distances<span> to any point on the ellipse is constant. </span>