Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of \( \$ 10 \) plus a constant fee for each hour of work. Her fee for a 5 -hour job, for instance, is \( \$ 35 \). Let \( y \) represent Anumeha's fee (in dollars) for a single job that took \( x \) hours for her to complete. Complete the equation for the relationship between the fee and number of hours. \( y= \).
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To find the relationship between Anumeha's fee \( y \) and the number of hours \( x \) she works, we need to establish the cost-per-hour based on the information provided. We know she charges a base fee of \$10, and her total fee for a 5-hour job is \$35. This means the additional charge for the 5 hours is \$35 - \$10 = \$25. Dividing this by the number of hours gives us her hourly rate, which is \$5 per hour. Therefore, the complete equation for the relationship is: \( y = 10 + 5x \). Now she can easily calculate her fees for various jobs with this handy formula, ensuring she never undercharges herself for all her hard work! When it comes to mowing lawns, Anumeha can apply her skills to earn extra cash while also helping her clients keep their gardens looking fresh and tidy. Mowing isn't just about pushing a lawnmower; it involves time management, customer service, and sometimes even a little bit of creativity in landscaping! By establishing her fees clearly, she ensures her summer job is not just rewarding financially but also enjoyable as she connects with her clients in the community.