The rate of the cell phone company is an illustration of a linear equation
It is worth it if Tamira sends an additional message
The parameters are given as:
Rate = 0.10 per message for up to 100 messages
Rate = 0.08 per message from 101 to 200 messages
Rate = 0.06 per message from 201 to 300 messages
If Tamira sends 200 messages, the total charge is:
[tex]\mathbf{Total = 0.08 * 200}[/tex]
[tex]\mathbf{Total = \$16}[/tex]
If Tamira sends an additional message to make it 201 messages, the total charge is:
[tex]\mathbf{Total = 0.06 * 201}[/tex]
[tex]\mathbf{Total = \$12.06}[/tex]
By comparison.
$12.06 is less than $16
This means that she spends less is she sends 201 messages.
Hence, it is worth it if Tamira sends an additional message
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