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The additional hours of sleep is an illustration of rates.
The expression that represents the additional hours is d/2
The number of days is given as:
[tex]\mathbf{Days = d}[/tex]
The rate of sleep per day is given as:
[tex]\mathbf{Rate =30}[/tex]
So, the required expression is:
[tex]\mathbf{Expression = Days \times Rate}[/tex]
This gives
[tex]\mathbf{Expression = d \times 30}[/tex]
[tex]\mathbf{Expression = 30d}[/tex]
Divide by 60, to represent it as hours
[tex]\mathbf{Expression = \frac{30d}{60}}[/tex]
[tex]\mathbf{Expression = \frac{d}{2}}[/tex]
Hence, the expression that represents the additional hours is d/2
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