Read the following description of a relationship:
Fernando uses 10 tomatoes to make each bowl of salad.
Let [tex]$s$[/tex] represent the number of bowls of salad and [tex]$t$[/tex] represent the total number of tomatoes he uses.
Complete the table using the equation [tex]$t=10 s$[/tex].
| [tex]$s$[/tex] | [tex]$t$[/tex] |
|---|---|
| 1 | 10 |
| 2 | |
| 3 | |
| 4 | 40 |
Answer (2)
Substitute s = 2 into the equation t = 10 s and find t .
Substitute s = 3 into the equation t = 10 s and find t .
Complete the table with the calculated values.
The completed table has values t = 20 when s = 2 and t = 30 when s = 3 , so the answer is 20 , 30 .
Explanation
Understanding the Problem We are given the equation t = 10 s , where t is the total number of tomatoes and s is the number of bowls of salad. We need to complete the table for s = 2 and s = 3 .
Calculating for s=2 When s = 2 , we substitute this value into the equation: t = 10 × 2 = 20 . So, when Fernando makes 2 bowls of salad, he uses 20 tomatoes.
Calculating for s=3 When s = 3 , we substitute this value into the equation: t = 10 × 3 = 30 . So, when Fernando makes 3 bowls of salad, he uses 30 tomatoes.
Completed Table Therefore, the completed table is:
s
t
1
10
2
20
3
30
4
40
Examples
Understanding proportional relationships like the one between tomatoes and salad bowls can help in many real-life situations. For example, if you're planning a pizza party, you can use a similar equation to determine how much cheese you need based on the number of pizzas you want to make. If each pizza requires 150g of cheese, you can calculate the total cheese needed by multiplying the number of pizzas by 150g. This helps in budgeting and avoiding waste.
We used the equation t = 10 s to calculate the values for tomatoes needed for bowls of salad. The completed table shows that Fernando uses 20 tomatoes for 2 bowls of salad and 30 tomatoes for 3 bowls. Therefore, the final table is accurate and reflects the relationship given.
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