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A cell phone company charges $0.10 per text message if the customer
sends up to 100 messages
per month. The company charges $0.08 per
text
if a customer sends between
101 and 200 messages, and $
0.06 per
text if
the customer sends between 201
and 300 messages. Today is the last
day
of the billing cycle.
a) Create a piecewise function to represent this situation.
b) If Tara has already sent 200 messages, is it worth it for her to send 1
more text message? Explain why or why not.

A cell phone company charges 010 per text message if the customer sends up to 100 messages per month The company charges 008 per text if a customer sends betwee class=

Respuesta :

roohafzah

a) Let x be the number of texts sent by a customer and C be the cost .

  • x ≤ 100 : C(x) = 0.10x
  • 101 ≤ x ≤ 200 : C(x) = 0.08x
  • 201 ≤ x ≤ 300 : C(x) = 0.06x

b) Tara should send one more text message so that the charge company charges $0.06 instead of $0.08 from her as it is more cost effective .

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