8 books cost $19.60.

Which equation would help determine the cost of 10 books?

Choose 1 answer

To determine the cost of 10 books, you can start by setting up an equation that represents the relationship between the number of books and their cost.

Let's assume that the cost of each book is $ x $ dollars.

Given:
- 8 books cost $19.60

The equation for the cost of 8 books is:
\[
8x = 19.60
\]

To find the cost of 10 books, you can use the same value of $ x $ (the cost per book). The equation for 10 books would be:
\[
10x
\]

To find the cost of 10 books, the corresponding equation would be:
\[
10x = \frac{10 \times 19.60}{8} = 24.50
\]

However, to find which equation to choose, you would look for the equation that models the cost of $ x $ as described above. The correct answer should resemble:
\[
10x = \text{(a value close to $24.50)}
\]
So the correct answer would be:

\[ 10x = \frac{10}{8} \times 19.60 \]

**Relative Questions:**
1. How do you calculate the unit price from a total cost?
2. What is the relationship between unit rate and proportion?
3. How do you solve for a variable in an equation?
4. What other methods can be used to determine the cost of additional items?
5. How does scaling affect the cost in proportion problems?

**Tip:** Always write down the given values and the equation derived from the situation before solving for the unknown variable.

Learn how to calculate the cost of 10 books from the given cost of 8 books. This math problem involves understanding proportions and calculating unit prices. Suitable for students in Grades 5-7.

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