Final answer:
Shara scored six 3-point baskets, and to represent the number of 2-point baskets, we use the variable x. The equation 6(3) + 2x = 34 represents her total points scored, which simplifies to x = 8, indicating she made 8 two-point baskets.
Step-by-step explanation:
To construct an equation representing Shara's scoring in the basketball game, we need to account for her three-point baskets and two-point baskets. Shara scored six 3-point baskets.
Let's use the variable x to represent the number of 2-point baskets she scored.
Since each 3-point basket is worth 3 points and each 2-point basket is worth 2 points, the following equation can represent the total score Shara achieved:
6(3) + 2x = 34
Simplifying the equation gives us:
18 + 2x = 34
Subtracting 18 from both sides, we get:
2x = 16
Dividing both sides by 2 gives us:
x = 8
Therefore, Shara scored 8 two-point baskets.