5. An internet service provider has modelled its projected number of business subscribers as B(t) = 50t + 2500 and the projected average number of Internet connections per business subscriber as C(t) = 0.004t² + 3.2, where t is the time, in weeks, over the next year. The projected total number of business Internet connections is then N(t) = B(t) x C(t) a. Determine the growth rate of the number of business connections after t weeks. b. Determine the growth rate of the number of business connections after 12 weeks.
5. An internet service provider has modelled its projected number of business subscribers as B(t) = 50t + 2500 and the projected average number of Internet connections per business subscriber as C(t) = 0.004t² + 3.2, where t is the time, in weeks, over the next year. The projected total number of business Internet connections is then N(t) = B(t) x C(t) a. Determine the growth rate of the number of business connections after t weeks. b. Determine the growth rate of the number of business connections after 12 weeks.
Transcribed Image Text:5. An internet service provider has modelled its projected number
of business subscribers as B(t) = 50t + 2500 and the projected
average number of Internet connections per business subscriber
as C(t) = 0.004t² + 3.2, where t is the time, in weeks, over the next
year. The projected total number of business Internet
connections is then N(t) = B(t) x C(t)
a. Determine the growth rate of the number of business
connections after t weeks.
b. Determine the growth rate of the number of business
connections after 12 weeks.
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