SOLUTION: A phone company offers two monthly plans. Plan A cost $16 plus an additional $0.16 for each minute of calls. Plan B cost $22 plus an additional $0.14 for each minute of calls. For
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-> SOLUTION: A phone company offers two monthly plans. Plan A cost $16 plus an additional $0.16 for each minute of calls. Plan B cost $22 plus an additional $0.14 for each minute of calls. For
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Question 1151819: A phone company offers two monthly plans. Plan A cost $16 plus an additional $0.16 for each minute of calls. Plan B cost $22 plus an additional $0.14 for each minute of calls. For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! plan A costs $16 plus .16 per minute.
plan B costs $22 plus an additional .14 per minute.
let x = the number of minutes.
let y = total cost.
formula for plan A is y1 = 16 + .16 * x
formula for plan B is y2 = 22 + .14 * x
the total costs are equal when y1 = y2.
this means that 16 + .16 * x = 22 + .14 * x
subtract 16 from both sides of this equation to get:
.16 * x = 6 + .14 * x
subtract .14 * x from both sides of this equation to get:
.02 * x = 6
solve for x to get:
x = 6 / .02 = 300.
the plans should be equal at 300 minutes of use.
plan A would cost 16 + .16 * 300 = 64 dollars.
plan B would cost 22 + .14 * 300 = 64 dollars.
your solution is that the cost when the two plans cost the same is equal to 64 dollars.
