Savannah is working two summer jobs, making $10 per hour washing cars and making $18 per hour tutoring. In a given week, she can work at most 12 total hours and must earn a minimum of $160. If Savannah worked 7 hours tutoring, determine all possible values for the number of whole hours washing cars that she must work to meet her requirements. Answer:

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Savannah is working two summer jobs, making  $10 per hour washing cars and making $18 per hour tutoring. In a given week, she can work at most 12 total hours and must earn a minimum of  $160. If Savannah worked 7 hours tutoring, determine all possible values for the number of whole hours washing cars that she must work to meet her requirements. Answer:

Bytelearn · Accepted Answer

Calculate earnings from tutoring: Calculate the earnings from tutoring. Savannah earns $18 per hour tutoring. If she worked 7 hours tutoring, her earnings from tutoring would be: Earnings from tutoring = $18/hour * 7 hours Earnings from tutoring = $126Calculate minimum remaining amount: Calculate the minimum remaining amount she needs to earn from washing cars. Savannah needs to earn a minimum of $160 in total. She has already earned $126 from tutoring, so she needs to earn at least: Minimum remaining earnings = $160 - $126 Minimum remaining earnings = $34Calculate minimum hours washing cars: Calculate the minimum number of hours she needs to work washing cars to earn the remaining amount. Savannah earns $10 per hour washing cars. To find out the minimum number of hours she needs to work to earn $34, we divide the remaining amount by her hourly wage from washing cars: Minimum hours washing cars = $34 / $10/hour Minimum hours washing cars = 3.4 hours Since she cannot work a fraction of an hour, she needs to work at least 4 whole hours washing cars.Check total hours worked: Check the total number of hours worked to ensure it does not exceed the maximum allowed hours. Savannah can work at most 12 hours in total. She has already worked 7 hours tutoring. If she works 4 hours washing cars, the total number of hours worked would be: Total hours worked = 7 hours tutoring + 4 hours washing cars Total hours worked = 11 hours Since 11 hours is less than or equal to the maximum of 12 hours, working 4 hours washing cars is a possible solution.Determine possible values: Determine if there are any other possible values for the number of whole hours washing cars. Since Savannah has already worked 7 hours tutoring and can work a maximum of 12 hours, she can work up to 5 hours washing cars (12 hours total - 7 hours tutoring). However, she only needs to work 4 hours to meet her minimum earnings requirement. Therefore, the possible values for the number of whole hours washing cars are 4 and 5 hours.

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