HELP ASAP ANSWER
A phone company offers two monthly charge plans. In Plan A, there is no monthly fee, but the customer pays 9 cents per minute of use. In Plan B, the customer
pays a monthly fee of $3.60 and then an additional 7 cents per minute of use.
For what amounts of monthly phone use will Plan A cost at least as much as Plan B?
Use m for the number of minutes of phone use in a month, and solve your inequality for m.
.09 m ≥ 3.60 + .07 m
To determine the amount of monthly phone use where Plan A costs at least as much as Plan B, we need to set up an inequality.
Let's assume that the monthly phone use is represented by the variable "m."
For Plan A, the cost is 9 cents per minute. Therefore, the total cost for Plan A can be calculated as 0.09m.
For Plan B, the monthly fee is $3.60, and an additional 7 cents per minute is charged. Hence, the total cost for Plan B can be expressed as 3.60 + 0.07m.
To find the point where Plan A costs at least as much as Plan B, we can set up the following inequality:
0.09m ≥ 3.60 + 0.07m
Now, let's solve this inequality for m:
0.09m - 0.07m ≥ 3.60
0.02m ≥ 3.60
To isolate m, we divide both sides of the inequality by 0.02:
m ≥ 3.60 / 0.02
m ≥ 180
Therefore, for monthly phone use of 180 minutes or more, Plan A will cost at least as much as Plan B.
To determine the monthly phone use where Plan A costs at least as much as Plan B, we need to compare the costs for each plan based on the monthly phone use (m).
Plan A: No monthly fee, but 9 cents per minute of use.
Cost of Plan A = 0 (monthly fee) + 0.09m (9 cents per minute)
Plan B: $3.60 monthly fee + 7 cents per minute of use.
Cost of Plan B = 3.60 (monthly fee) + 0.07m (7 cents per minute)
Now we need to set up an inequality equation to find the range of m:
Cost of Plan A ≥ Cost of Plan B
0.09m ≥ 3.60 + 0.07m
To solve this inequality for m, we can isolate the variable m on one side:
0.09m - 0.07m ≥ 3.60
0.02m ≥ 3.60
m ≥ 3.60 / 0.02
m ≥ 180
Therefore, for any monthly phone use (m) greater than or equal to 180 minutes, Plan A will cost at least as much as Plan B.