jane’s mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m. Minutes at daytime rate: Minutes at nighttime rate: Total cost:

The conference call lasts 90 minutes. Minutes at daytime rate is 7pm to 8pm, 60 minutes, and at nighttime rate, 30 minutes.
60 mins @ 5c/min=$3. 30 mins @ 3c/min=$0.90. Total before conference charge: $3.90. Total cost=3.90×1.5=$5.85.

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KarpaT KarpaT · Answer 2 · 2022-07-01T13:12:17+02:00

The total cost for a conference call lasting from 7 p.m. to 8:30 p.m is $5.85.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mobile phone plan charges per minute at day time rates before 8 p.m = $0.05

Mobile phone plan charges per minute at night time rates after 8 p.m = $0.03

Cost of a conference call = 1.5 times the normal rate.

A conference call lasting from 7 p.m. to 8:30 p.m,

Minutes at day time rate = 7 p.m to 8 p.m

⇒ [tex]1 hour=60 minutes[/tex]

Minutes at night time rate = 8 p.m to 8:30 p.m

⇒ [tex]30 minutes[/tex]

Thus the total cost is the sum of conference call cost of minutes at day time and night time,

⇒ [tex][(60)(0.05)(1.5)+(30)(0.03)(1.5)][/tex]

⇒ [tex]4.5+1.35[/tex]

⇒ [tex]5.85[/tex]

Hence we can conclude that the total cost for a conference call lasting from 7 p.m. to 8:30 p.m is $5.85.

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