Question

In a game, a player earns 100 points for each question answered correctly and earns −30 points for each question answered incorrectly. A player answered 14 questions correctly and 6 questions incorrectly. Write a numeric expression to represent the total number of points the player earned. What is the total number of points the player earned?

Answer 1

Answer:

1220

Step-by-step explanation:

Given that in a game, a player earns 100 points for each question answered correctly and earns −30 points for each question answered incorrectly.

Let x be the no of questions correctly answered .  Then 20-x would be the question wrongly answered since total number of questions = 14+6 =20

Points gained for correct answer = 100(x) = 100x

Points lost for wrong answer = -30(20-x) = -600+30x

So total points gained when x questions are answered right

= $100x-600+30x\\= 130x-600$

A player answered 14 questions correctly and 6 questions incorrectly.

Here x =14

Hence we substitute x =14 to get total points earned

Total points earned

$= 130(14)-600\\= 1820-600\\=1220$