Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.