Math Problem Statement
Solution
It looks like you have a few ratio problems. Let's break down the missing values and work through them:
For question 11 (Minutes and Laps):
The table gives a ratio of Minutes to Laps. You're asked to find the missing values. Here's the current table:
Minutes | 2 | 4 | 8 |
---|---|---|---|
Laps | 1 | ? | ? |
To find the missing values, first determine the pattern:
- The ratio between minutes and laps is 2:1 for 2 minutes to 1 lap.
- So, for every 2 minutes, there is 1 lap. The number of laps increases in the same proportion as the minutes.
By doubling the minutes (from 2 to 4), the number of laps also doubles. Therefore:
- For 4 minutes, the number of laps should be 2.
- Similarly, for 8 minutes, the number of laps should be 4.
So, the updated table is:
Minutes | 2 | 4 | 8 |
---|---|---|---|
Laps | 1 | 2 | 4 |
For question 12 (Servings and Protein):
We are asked to determine the missing protein values in the table, given that 2 servings correspond to 1 gram of protein. Here's the table:
Servings | 2 | 4 | 8 |
---|---|---|---|
Protein (grams) | 1 | ? | ? |
Given the ratio 2 servings to 1 gram of protein, we can find the missing values by maintaining the proportional relationship:
- If 2 servings = 1 gram of protein, then for 4 servings (double), there would be 2 grams of protein.
- Similarly, for 8 servings, there would be 4 grams of protein.
So, the complete table is:
Servings | 2 | 4 | 8 |
---|---|---|---|
Protein (grams) | 1 | 2 | 4 |
These values maintain the consistent ratio of 1 gram of protein for every 2 servings.
Would you like further clarification on any of the problems, or would you like to move to the next set of questions?
Here are some related questions for deeper understanding:
- How do we simplify ratios in general?
- What are some real-life applications of ratios and proportions?
- Can you solve a problem where the ratio is not initially clear?
- How does scaling a ratio up or down affect its values?
- How do you check if two ratios are equivalent?
Tip: When dealing with ratios, always check if you can multiply or divide both terms by the same number to find equivalent ratios.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Formulas
Proportionality: a/b = c/d
Theorems
Cross-multiplication method for solving proportions
Suitable Grade Level
Grades 5-7