Your little sister has made up a card game where different types of cards are worth different points. Face cards are worth 12 points, cards with red numbers are worth 5 points, and cards with black numbers are worth 9 points. Let F be the number of face cards in your hand, R be the number of cards with red numbers in your hand, and B be the number of cards with black numbers in your hand. What algebraic expression models the total number of points that you have in your hand?

Suppose you have 3 face cards, 6 cards with red numbers, and 8 cards with black numbers. How many points do you have?

Responses:

a) 12F + 5R + 9B; 138

b) 3F + 6R + 8B; 153

c) 12F + 5R + 9B; 153

d) 3F + 6R + 8B; 138

1 answer

The correct algebraic expression that models the total number of points is 12F + 5R + 9B.

Plugging in the given values, we have:
12(3) + 5(6) + 9(8) = 36 + 30 + 72 = 138.

Therefore, the correct answer is option d) 3F + 6R + 8B; 138.