Math Problem Statement
fill the gap!
Calculate the missing values of the directly proportional relationships. First, calculate an intermediate value and then the required value.
Solution
To solve these directly proportional relationships, let's find a suitable intermediate value to calculate the missing entries. I'll go through each part:
Part (a) Euros to US Dollars
We have:
- 120 Euros = 180 US Dollars
Let's find the conversion rate: This means 1 Euro = 1.5 US Dollars.
-
Missing Value in Euros (when we have 180 USD):
- Since 180 USD is given, we divide by the conversion rate to get Euros:
So, the missing values are:
- Second row (left to right): 120, 180
Part (b) Number of blocks to Tower height
We have:
- 7 blocks = 10.5 cm
- Calculate height per block: [ \frac{10.
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Math Problem Analysis
Mathematical Concepts
Direct Proportion
Ratio
Unit Rate
Formulas
Unit rate formula: \( k = \frac{y}{x} \)
Proportion calculation formula: \( y = k \cdot x \)
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8