Mathematics: For meg s long-distance calling plan, mostly cost c in dollars is given by the linear function c (t)= 6 + 0.05t, where t is the number of minutes talked. a) what is the total cost of talking 8 hours? of talking 20 hours? b) what is the effective cost per minute (the total cost divided by the number of minutes talked) of talking 8 hours? of talking 20 hours?

For meg s long-distance calling plan, mostly cost

uc22912

13.03.2022

It cost $30 to talk for 8 hours and $66 to talk for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Cost C in dollars is given by a linear function:

C(t) = 6 + 0.05t , where t is the number of minutes talked.

a) Total cost f talking for 8 hours

1 hour = 60 minutes

8 hours = 480 minutes

20 hours = 1200 minutes

Putting t = 480 in the given cost function,

$C(480) = 6 + 0.05\times 480 = 30$

Putting t = 1200 in the given cost function,

$C(1200) = 6 + 0.05\times 1200 = 66$

Thus, it cost $30 to talk for 8 hours and $66 to talk for 20 hours.

$\text{Effective cost per minute} = \displaystyle\frac{\text{Total cost}}{\text{Number of minutes}}$

$\text{Effective cost of talking for 8 hours} = \displaystyle\frac{30}{480} = 0.0625$

$\text{Effective cost of talking for 20 hours} = \displaystyle\frac{66}{1200} = 0.055$

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SkyDoki

30.11.2022

Step-by-step explanation:

The shape of the curve is a rose curve.

The domain are real numbers

And the range is approximately from -3.9 to 3.9

The maximum value of r on the graph is 3.9

Yes the graph is continuous and it is bounded above and below

The graph is symmetrical about the y axis and not about the x axis.

No asymptotes

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