Jeriel is working two summer jobs, washing cars and landscaping. He can work a maximum of 15 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours landscaping, l, that Jeriel can work in a given week. Answer:

Question

Jeriel is working two summer jobs, washing cars and landscaping. He can work a maximum of 15 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars,  w, and the number of hours landscaping,  l, that Jeriel can work in a given week. Answer:

Bytelearn · Accepted Answer

Define Variables: Let's define the variables: w = number of hours washing cars l = number of hours landscaping Jeriel can work a maximum of 15 hours altogether between both jobs.Write Inequality: We need to write an inequality that represents the sum of the hours spent on both jobs being less than or equal to 15. The inequality will be: w + l ≤ 15Check Inequality: Now, let's check if the inequality makes sense. If Jeriel works 0 hours washing cars, he can work up to 15 hours landscaping, which would satisfy the inequality: 0 + 15 ≤ 15. If Jeriel works 15 hours washing cars, he can work 0 hours landscaping, which also satisfies the inequality: 15 + 0 ≤ 15.Verify Representation: The inequality w + l ≤ 15 correctly represents the maximum number of hours Jeriel can work in a week across both jobs without exceeding 15 hours.

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