Math Problem Statement

Find the missing values in the ratio table. Then write the equivalent ratios.

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:

Minutes248
Laps1??

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:

Minutes248
Laps124

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:

Servings248
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:

Servings248
Protein (grams)124

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:

  1. How do we simplify ratios in general?
  2. What are some real-life applications of ratios and proportions?
  3. Can you solve a problem where the ratio is not initially clear?
  4. How does scaling a ratio up or down affect its values?
  5. 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