## Related questions with answers

Communications The cost of using a telephone calling card is $\$ 1.05$ for the first minute and $\$ 0.38$ for each additional minute or portion of a minute.

Graph the appropriate model. Determine the cost of a call lasting $18$ minutes and $45$ seconds.

Solution

VerifiedThe appropriate model for the cost of using a telephone calling card for a call lasting $t$ minutes is:

$C(t)=1.05-0.38[-(t-1)]$

Here, we are asked to graph the model and determine the cost of a call lasting $18$ minutes and $45$ seconds. To graph the function, let us determine the transformation of the common function to obtain the new graph. And to find the cost of a call of the given time, convert the time into minutes and substitute the obtain value into the function and lastly evaluate for $C(t)$.

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