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?
The total number of points can be modeled using the algebraic expression:
Total points = (12 * F) + (5 * R) + (9 * B)
Substituting F = 3, R = 6, and B = 8 into the expression:
Total points = (12 * 3) + (5 * 6) + (9 * 8)
Total points = 36 + 30 + 72
Total points = 138
Therefore, you have 138 points in your hand.