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Choose the inequality that relates the manager's number of gigs and monthly rate to the last month's earnings.

A. [tex]x + 20y \ < \ 170[/tex]

B. [tex]x + y \ < \ 170[/tex]

C. [tex]y + 20x \ > \ 170[/tex]

D. [tex]20x + y \geq 170[/tex]

Answer :

To determine which inequality relates the manager's number of gigs and monthly rate to last month's earnings, we need further context or information about the problem. However, based on the options provided, it is not possible to choose the correct inequality without that additional context.

Here's a general explanation to approach problems like this:

1. Understand the Variables:
- Assume `x` represents the number of gigs.
- Assume `y` represents the monthly rate or some other related financial variable.

2. Interpret the Inequalities:
- Each inequality given relates two variables, possibly representing a limit or condition based on past earnings or performance.
- `x + 20y < 170` suggests a relationship where the total measure of gigs and a weighted rate is less than 170.
- `x + y < 170` implies that the sum of the number of gigs and the rate must be less than 170.
- `y + 20x > 170` suggests that the rate plus a weighted influence of gigs exceeds 170.
- `20x + y ≥ 170` indicates that a combination of gigs and rate meets or exceeds 170.

3. Select the Most Likely Inequality:
- Without specific instructions or context such as how gigs or rates contribute to earnings, it is impossible to determine which inequality applies directly.

Since no additional information is provided to distinctly choose the correct inequality, identifying the applicable one remains inconclusive. If more information about how gigs and rates relate to earnings is available, an appropriate inequality can be selected. For now, any of the inequalities could potentially fit depending on the missing context.

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