Breanna plays on her middle school basketball team. For every 5 shots she takes, she makes 2 baskets. If she makes 8 baskets, how many shots did she take? Use a tape diagram to help organize your thinking. (1 point)
To solve this problem, we can use a tape diagram to represent the ratio of shots to baskets made.
Let's use squares to represent shots and circles to represent baskets made.
We know that for every 5 shots, Breanna makes 2 baskets. So, we can set up the tape diagram as follows:
⬜️⬜️⬜️⬜️⬜️ ⚫️⚫️
Each group of 5 squares represents 5 shots, and the two circles represent 2 baskets made.
Since Breanna made 8 baskets, we need to find out how many groups of 5 squares are needed to make 8 circles.
To do that, we divide 8 baskets by 2 baskets per group:
8 baskets ÷ 2 baskets per group = 4 groups of 5 squares
So, Breanna took 4 groups of 5 shots, which is:
4 groups × 5 shots per group = 20 shots.
Therefore, Breanna took 20 shots.
To solve this problem, we can use a tape diagram to organize our thinking and visualize the relationship between shots and baskets.
First, let's start by drawing a bar to represent the total number of shots. We'll divide this bar into smaller sections to represent the shots made and the shots missed.
Let's assign the value of each section based on the given information. We know that for every 5 shots Brianna takes, she makes 2 baskets. So, we can split the total number of shots bar into groups of 5.
[ 5 | 5 | 5 | ... ]
Now, within each group of 5 shots, we know that she makes 2 baskets. We can represent this with a smaller section inside each group.
[ 5 | 5 | 5 | ... ]
[2 | 2 | 2 | ... ]
The problem states that Brianna made 8 baskets. We can show this by filling in the smaller sections with the number 8.
[ 5 | 5 | 5 | ... ]
[2 | 2 | 2 | 2 ]
8
Now, using the diagram, we can count the number of sections in the total shots bar to find the number of shots Brianna took.
Based on the diagram, we can see that there are 4 sections of 5 shots. Therefore, the total number of shots Brianna took is 4 * 5 = 20 shots.
So, Breanna took 20 shots to make 8 baskets.
To represent the given information using a tape diagram, we can divide it into 5 equal parts to represent the 5 shots.
Each part represents one shot. To indicate the number of baskets made, we shade in 2 parts out of the 5 parts. Thus, a shaded part represents one made basket.
Since she made 8 baskets, we shade in 8 parts out of the total unknown number of shots.
Therefore, there are 8 shaded parts, representing 8 made baskets.
Since each shaded part represents one made basket, there are 8 shots.
So, Breanna took 8 shots. Answer: \boxed{8}.