Mr. Brown is going to start sleeping an extra 30 minutes each night. If d represents the number of days, which of the following expressions shows how many more hours of sleep Mr. Brown will get in a week?

Respuesta :

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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