Final answer:
Naomi earns approximately $8.13 per hour to mow lawns.
Step-by-step explanation:
To find how much Naomi earns per hour, we can divide the total amount she earned by the total number of hours she worked. Naomi earned $63 mowing lawns over the past two days. Yesterday, she worked for 2 1/2 hours, and today she worked for 2 3/4 hours. To find the total number of hours Naomi worked, we need to convert the mixed numbers to improper fractions.
2 1/2 is equal to 5/2, and 2 3/4 is equal to 11/4. Now, we can find the total number of hours by adding the two fractions together: 5/2 + 11/4 = 20/4 + 11/4 = 31/4. Therefore, Naomi worked for a total of 31/4 hours. Now, we divide the total amount she earned ($63) by the total number of hours (31/4): $63 ÷ (31/4) = $63 × (4/31) = $252/31. So, Naomi earns approximately $8.13 per hour to mow lawns.