Last year, Julia had already exercised 35 hours prior to May 1 . She then exercised \( \frac{1}{2} \) hour per day on some days during the rest of the year. Which of the following equations gives the total amount of hours, \( h \), Julia exercised last year if she exercised \( d \) days the rest of the year? ( \( 0 \leq d \leq 245 \) )
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To find the total amount of hours \( h \) that Julia exercised last year, we start with the hours she exercised before May 1, which is 35 hours. Then, for the days she exercised after May 1, we know she exercised \( \frac{1}{2} \) hour each day for \( d \) days. Therefore, the total can be calculated using the equation: \[ h = 35 + \frac{1}{2}d \] This equation captures her initial hours plus the additional hours from her exercise routine after May. Now, plug in any value for \( d \) (ranging from 0 to 245) to find out how many total hours she exerted throughout the year!