Penelope is working two summer jobs, making $7 per hour washing cars and $13 per hour landscaping. Penelope must earn a minimum of $95 this 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 Penelope can work in a given week. Answer:

Question

Penelope is working two summer jobs, making  $7 per hour washing cars and  $13 per hour landscaping. Penelope must earn a minimum of  $95 this 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 Penelope can work in a given week. Answer:

Bytelearn · Accepted Answer

Define Total Earnings: Let's define the total earnings from washing cars as $7 per hour times the number of hours washing cars (w). This can be represented as 7w.Calculate Earnings for Landscaping: Similarly, define the total earnings from landscaping as $13 per hour times the number of hours landscaping (l). This can be represented as 13l.Minimum Total Earnings Requirement: Penelope needs to earn at least $95 in total from both jobs. This means that the sum of her earnings from both jobs must be greater than or equal to $95.Write the Inequality: We can write this requirement as an inequality: 7w + 13l ≥ 95.Representation of Inequality: This inequality represents the possible combinations of hours washing cars (w) and hours landscaping (l) that will allow Penelope to earn at least $95.

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