Question

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?

Answer 1

b i think
Hope it helps

Answer 2

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

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* 480 = 30`

Putting t = 1200 in the given cost function,

`C(1200) = 6 + 0.05* 1200 = 66`

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

b)

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

`\text{Effective cost of talking for 8 hours} = \displaystyle(30)/(480) = 0.0625`

`\text{Effective cost of talking for 20 hours} = \displaystyle(66)/(1200) = 0.055`