Question

A signal from a mobile phone mast can be picked up by a mobile phone no more than 10 miles away. The circumference of the mobile phone reception has to be at least 55 miles. Find the range of values, to 1 decimal place, for the distance from the mast that a user would have to be able to receive a signal on their phone.

Answer 1

The range of values for the distance from the mast that a user would have to be able to receive a signal on their phone is between 27.5 miles and 10 miles.

Step-by-step explanation:

To find the range of values for the distance from the mast that a user would have to be able to receive a signal on their phone, we need to determine the minimum and maximum distances. We know that the circumference of the mobile phone reception has to be at least 55 miles, so the minimum distance would be half of that, which is 27.5 miles.

The signal from a mobile phone mast can be picked up by a mobile phone no more than 10 miles away, so the maximum distance would be 10 miles.

Therefore, the range of values for the distance from the mast that a user would have to be able to receive a signal on their phone is between 27.5 miles and 10 miles.