Final answer:
To calculate the cost of 662 minutes of cellular service at the given rate of $15 for 90 minutes, divide $15 by 90 to find the cost per minute, then multiply by 662. The total cost, rounded to the nearest cent, is $110.36.
Step-by-step explanation:
The student asks how much it would cost for 662 minutes of cellular phone service if the service charges $15 for 90 minutes.
To find the cost per minute, we divide the cost by the number of minutes to get the rate. In this case, $15 ÷ 90 minutes equals $0.1667 per minute. Next, we multiply this rate by the desired number of minutes, which is 662, to find the total cost: $0.1667 × 662 minutes equals approximately $110.3622. If we round this to the nearest cent, the cost for 662 minutes is $110.36.
To summarize, we used proportional reasoning to find the rate per minute and then calculated the total cost for 662 minutes of phone service. This type of problem is an example of solving for proportional relationships in mathematics, specifically in dealing with unit rates and scaling to larger quantities.