Rajindri earns $163 for every 2 hours she works. To find the equation that expresses the relationship between her earnings (d in dollars) and the time worked (t in hours), we can establish a couple of steps.
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First, we determine her hourly rate. Since she earns $163 for every 2 hours, we can divide her earnings by the time to find her rate per hour:
\[ \text{Hourly Rate} = \frac{163}{2} = 81.5 \text{ dollars per hour} \]
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Now we can set up the equation representing the total earnings based on the hours worked. If she earns $81.5 for each hour worked, then for t hours the equation for her earnings will be:
\[ d = 81.5t \]
Alternatively, if we are to maintain the original relation of her earnings over time worked of 2 hours, we can express it as:
\[ d = \frac{163}{2} t \]
In this case, since every 2 hours yields $163, the equation can also be represented as:
\[ d = 81.5t \]
Both equations are equivalent and represent the same relationship. Therefore, the equation that represents the relationship between dollars earned (d) and hours worked (t) is:
\[ d = 81.5t \]