Math Problem Statement

Each shuttle bus has 51 passenger seats. Let b represent the number of shuttle buses and s represent the total number of passenger seats. Complete the table using the relationship between b and s. (b values are 4, 5, 8, and 10.)

Solution

From the image, we are given the relationship where:

  • Each shuttle bus has 51 passenger seats.
  • bb represents the number of shuttle buses.
  • ss represents the total number of passenger seats.

The relationship between bb and ss is:

s=51bs = 51 \cdot b

Completing the table:

  1. When b=4b = 4: s=514=204s = 51 \cdot 4 = 204

  2. When b=5b = 5: s=515=255s = 51 \cdot 5 = 255

  3. When b=8b = 8: s=518=408s = 51 \cdot 8 = 408

  4. When b=10b = 10: s=5110=510s = 51 \cdot 10 = 510

Final Table:

bbss
4204
5255
8408
10510

Do you have any questions or need further clarification? 😊

Related Questions:

  1. How would the relationship change if each bus had 60 seats instead of 51?
  2. What is the formula for bb if ss is known?
  3. Can you determine how many buses are needed if there are 765 seats in total?
  4. What happens to ss if the number of buses is doubled?
  5. If b=0b = 0, what is the value of ss, and what does it represent?

Tip:

Always double-check your calculations when working with multiplication tables to avoid small errors.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Algebraic Relationships

Formulas

s = 51 * b

Theorems

Direct Proportionality

Suitable Grade Level

Grades 6-8