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8_murik_8 [283]
3 years ago
5

A phone company used to charge $30 per month plus $0.50 per text message for phone service. However, the company did not charge

a customer more than $80 per month regardless of how many text messages they sent.
The inequality that represented a customer's cost after x text messages was 80≥0.50x+30.

Which answer choice correctly analyzes this scenario?

For the inequality to be true, the value of x needs to be negative. Since x represents the number of text messages sent, there is no solution for this scenario.

The solution 100≥x means that, for the bill to equal $80, a customer can send no more than 100 text messages per month.

For the inequality to be true, the value of x needs to be less than 1. Since x represents the number of text messages sent, there is no solution for this scenario.

While x represents the number of text messages sent, the company did not charge more than $80 per month, so a customer could send unlimited text messages for $80 per month.
Mathematics
1 answer:
storchak [24]3 years ago
3 0

I would say the last one


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The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

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