To find which model represents the relationship where for each heart there are 2 stars, we can express this relationship mathematically. If we let \( h \) represent hearts and \( s \) represent stars, the equation can be represented as:
\[ s = 2h \]
Now, let's evaluate each option:
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2 stars and 6 hearts: This means \( s = 2 \) and \( h = 6 \). According to our equation, if \( h = 6 \), then \( s \) should be \( 2 \times 6 = 12 \). This does not match since we have 2 stars.
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2 stars and 4 hearts: This means \( s = 2 \) and \( h = 4 \). If \( h = 4 \), then \( s \) should be \( 2 \times 4 = 8 \). This also does not match.
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6 stars and 2 hearts: This means \( s = 6 \) and \( h = 2 \). If \( h = 2 \), then \( s \) should be \( 2 \times 2 = 4 \). This does not match either.
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4 stars and 2 hearts: This means \( s = 4 \) and \( h = 2 \). If \( h = 2 \), then \( s \) should be \( 2 \times 2 = 4 \). This matches the relationship perfectly.
Therefore, the model that shows the relationship "for each heart there are 2 stars" is:
4 stars and 2 hearts.
1 answer