Answered

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Write an expression to represent Donovan's total score of one of his words contains six letters

Sagot :

MrRoyal

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]

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