A phone company offers two monthly plans. Plan A costs $29 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.11 for each minute of calls What is the cost when the two plans cost the same?
A phone company offers two monthly plans. Plan A costs $29 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.11 for each minute of calls.
A) For what amount of calling do the two plans cost the same?
B) What is the cost when the two plans cost the same?
plz help fast
29 + .09m = .11m
Solve for m, then multiply by .11
To find out when the two plans cost the same, we need to set up an equation and solve for the number of minutes.
Let's assume the number of minutes of calls is represented by the variable 'm'.
For Plan A, the total cost is given by:
Total Cost = $29 + ($0.09 × m)
For Plan B, the total cost is given by:
Total Cost = $0.11 × m
To find out when the two plans cost the same, we set up the equation:
$29 + ($0.09 × m) = $0.11 × m
Now, let's solve this equation step by step.
First, simplify the equation by distributing:
$29 + $0.09m = $0.11m
Next, subtract $0.09m from both sides to isolate the 'm' term:
$29 = $0.11m - $0.09m
Combine like terms:
$29 = $0.02m
To solve for 'm', divide both sides of the equation by $0.02:
m = $29 / $0.02
Now, let's do the calculation:
m = 1450
So, when the number of minutes of calls is 1450, the cost for both Plan A and Plan B will be the same.