Question

interpreting line plot graphs
kathy recorded the amount of flour she used in baking different pastries. use the line plot and answer the questions below.

1. how often did she use 1 1/2 cups of flour?
2. how many cups of flour did she use the most?
3. how many more times did she use 2 3/4 cups than 1/2 cup?
4. how many times did she use more than 2 cups?
5. how many times did she use 1 1/2 cups or less?
6. how many times did she use more than 1 cup but less than 2 1/4 cups?
7. how much flour did she use in total on the bakes where she used 2 1/4 and 2 3/4 cups?
8. if she bakes three more batches, how many batches did she bake in all?

Explanation:

Step1: Count 'X's for 1 1/2 cups

Count the number of 'X's above 1 1/2 on the line - plot. There are 4 'X's.

Step2: Identify the most - used amount

The most 'X's are above 2 cups (5 'X's), so the amount used the most is 2 cups.

Step3: Compare 2 3/4 and 1/2 cups

There are 4 'X's above 2 3/4 and 2 'X's above 1/2. 4 - 2=2.

Step4: Count amounts more than 2 cups

There are 4 'X's above 2 1/4 and 4 'X's above 2 3/4. 4 + 4=8.

Step5: Count amounts 1 1/2 cups or less

There are 2 'X's above 1/2, 1 'X' above 1, and 4 'X's above 1 1/2. 2+1 + 4=7.

Step6: Count amounts between 1 and 2 1/4 cups

There are 4 'X's above 1 1/2 and 1 'X' above 2. 4+1=5.

Step7: Calculate total for 2 1/4 and 2 3/4 cups

For 2 1/4 cups, assume each 'X' represents 1 use, so 4 uses of 2 1/4 cups is 4×2 1/4 = 4×\frac{9}{4}=9 cups. For 2 3/4 cups, 4 uses of 2 3/4 cups is 4×2 3/4=4×\frac{11}{4}=11 cups. Total is 9 + 11=20 cups.

Step8: Calculate total batches

Count all 'X's initially: 2+1 + 4+5+1+4+4 = 21. Add 3 more batches, 21+3=24.

Answer:

1. 4 times
2. 2 cups
3. 2 times
4. 8 times
5. 7 times
6. 5 times
7. 20 cups
8. 24 batches