Question 27 『 $0 / 4$ pts $3 \rightleftarrows 19$ (i) Details You are choosing between two different cell phone plans. The first plan charges a rate of 21 cents per minute. The second plan charges a monthly fee of $\$ 44.95$ plus 8 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute. Question Help: D Video Submit Question

Step 1 ：Translate the problem into a mathematical equation. The cost of the first plan is \(0.21 \times \text{minutes}\) and the cost of the second plan is \(44.95 + 0.08 \times \text{minutes}\).

Step 2 ：Set these two equations equal to each other to find the point where the costs of the two plans are the same: \(0.21 \times \text{minutes} = 44.95 + 0.08 \times \text{minutes}\).

Step 3 ：Solve the equation for minutes. The solution is \(\text{minutes} = 346\).

Step 4 ：Final Answer: The number of minutes you would have to use in a month in order for the second plan to be preferable is \(\boxed{346}\) minutes.