Question:
Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.
Answer:
[tex]Total = 10w + 5 - 3t[/tex]
Step-by-step explanation:
Given
[tex]Points = 10[/tex]
[tex]Extra\ Point = 5[/tex]
[tex]Taken\ Away = 3[/tex]
Required
Represent as an expression
Represent the words with w
So, the total points for w words is:
[tex]w\ Points = 10*w[/tex]
[tex]w\ Points = 10w[/tex]
Also, he will earn the extra point because his 1 word contain 6 letters.
So, the new point is:
[tex]New\ Point = w\ Point + 1 * Extra\ Point[/tex]
[tex]New\ Point = 10w + 1 * 5[/tex]
[tex]New\ Point = 10w + 5[/tex]
Lastly, represent the number of tiles remaining with t.
3 points are taken away for 1 tiles left
3*t points will be taken away for t tiles left
So, Donovan total points is:
[tex]Total = 10w + 5 - 3 * t[/tex]
We subtracted because the points are taken away
[tex]Total = 10w + 5 - 3t[/tex]
