He Shoots He Scores

• ## He Shoots He Scores

PoW ID: 2908

Algebra, High School, Algebra, Algebra, Algebra Library

### Problem Print

When Bo got home from his basketball game last night, looking pretty pleased with himself, his roommates asked him how it went. He said that he had 10 rebounds, 2 blocks, 3 assists, and equaled or bettered his season high in points. Naturally they wanted to know exactly how many points he scored. Since he never likes to give them a straight answer, he told them the following:

• I didn't shoot any free throws.
• The number of 2-pointers I made is less than or equal to 8.
• My previous season high was 18 points.

Now the roommates had to do some thinking! Let's see if you can figure it out.

1. Using t to represent the number of 3-pointers he made, g to represent the number of 2-pointers, and f to represent the number of free throws, write equations or inequalities to represent all of the information given above. You should have four statements.
2. Decide which of the four graphs below best represents the information given in the problem. Explain your choice carefully!
3. What are all of the possible point totals for Bo?

 Graph A Graph B Graph C Graph D

Bo might have scored 18, 19, 20, 22, 23, or 25 points.