For her phone service, Ann pays a monthly fee of $16, and she pays an additional $0.05 per minute of use.The least she has been charged in a month is $72.65
what are the possible numbers of minutes she has used her phone in a month use m for the number of minutes, and solve your inequality for m
The total cost Ann pays in a month is a combination of the monthly fee and the additional cost per minute of use. We can represent this with the equation:
16 + 0.05m = 72.65
To solve for m, we need to isolate it on one side of the equation. First, subtract 16 from both sides:
0.05m = 72.65 - 16
0.05m = 56.65
Next, divide both sides by 0.05 to solve for m:
m = 56.65 / 0.05
m = 1133
Therefore, the possible number of minutes Ann has used her phone in a month (m) is 1133 or more.
Let's solve the inequality step by step:
Given:
- Monthly fee: $16
- Additional charge per minute: $0.05
- Least charge in a month: $72.65
The total monthly charge consists of the fixed fee plus the additional charge per minute:
Total Monthly Charge = Monthly Fee + (Additional Charge per Minute * Number of Minutes)
Let's set up an inequality to represent the least charge in a month:
$72.65 ≤ $16 + ($0.05 * m)
Where "m" represents the number of minutes used in a month.
Now, let's solve for "m":
$72.65 ≤ $16 + ($0.05 * m)
Subtract $16 from both sides:
$72.65 - $16 ≤ $0.05 * m
$56.65 ≤ $0.05 * m
Divide both sides by $0.05:
$56.65 / $0.05 ≤ m
1133 ≤ m
Therefore, the possible numbers of minutes she has used her phone in a month, denoted by "m," are greater than or equal to 1133.
To calculate the possible number of minutes Ann has used her phone in a month, we can set up an inequality using the given information.
Let's denote the number of minutes as "m".
According to the question, Ann pays a monthly fee of $16 and an additional $0.05 per minute of use. Therefore, the total cost "C" in terms of minutes can be calculated as follows:
C = 16 + 0.05m
We also know that the least she has been charged in a month is $72.65. So we can set up the inequality as follows:
C ≥ 72.65
Substituting the value of C, we have:
16 + 0.05m ≥ 72.65
To solve this inequality for "m", we need to isolate the variable on one side.
16 + 0.05m ≥ 72.65
0.05m ≥ 72.65 - 16
0.05m ≥ 56.65
Now, divide both sides of the inequality by 0.05 to solve for "m":
(0.05m) / 0.05 ≥ 56.65 / 0.05
m ≥ 1133
Therefore, the possible number of minutes Ann has used her phone in a month (m) is equal to or greater than 1133 minutes.