a radio station that keeps records of the low temperature each day obtained the following information. the fahrenheit temperature on monday was below zero, and on tuesday it was 8 degrees colder. wednesday the temperature reading was twice as low as for tuesday. thursday the temperature was 4 degrees higher than on wednesday. on friday, the temperature warmed up to -24 degrees, which was just half of the temperature on thursday. what was the recorded temperature for monday
To find the recorded temperature for Monday, we need to work backwards from Friday.
Since the temperature on Friday was -24 degrees, which was half of the temperature on Thursday, the temperature on Thursday must have been -24 degrees * 2 = -48 degrees.
Since the temperature on Thursday was 4 degrees higher than on Wednesday, the temperature on Wednesday must have been -48 degrees + 4 degrees = -44 degrees.
Since the temperature on Wednesday was twice as low as for Tuesday, the temperature on Tuesday must have been -44 degrees / 2 = -22 degrees.
Since the temperature on Tuesday was 8 degrees colder than on Monday, the temperature on Monday must have been -22 degrees + 8 degrees = -14 degrees.
Therefore, the recorded temperature for Monday was -14 degrees Fahrenheit.
Let's break down the information step-by-step to find out the recorded temperature for Monday:
1. The Fahrenheit temperature on Monday was below zero.
2. On Tuesday, the temperature was 8 degrees colder than Monday.
3. Wednesday's temperature reading was twice as low as Tuesday.
4. Thursday's temperature was 4 degrees higher than Wednesday.
5. On Friday, the temperature warmed up to -24 degrees, which was half of the temperature on Thursday.
Let's calculate the temperature:
- Let's say the temperature on Monday is "x" degrees Fahrenheit.
- As per the given information, the temperature on Tuesday was 8 degrees colder than Monday, so it would be x - 8 degrees Fahrenheit.
- The temperature on Wednesday was twice as low as Tuesday, so it would be 2 * (x - 8) degrees Fahrenheit.
- Thursday's temperature was 4 degrees higher than Wednesday, so it would be 2 * (x - 8) + 4 degrees Fahrenheit.
- On Friday, the temperature was half of Thursday's temperature, so it would be (2 * (x - 8) + 4) / 2 degrees Fahrenheit.
Given that on Friday, the temperature was -24 degrees Fahrenheit, we can write the equation:
(2 * (x - 8) + 4) / 2 = -24
Let's solve the equation:
2 * (x - 8) + 4 = -48
2 * (x - 8) = -52
x - 8 = -26
x = -26 + 8
x = -18
Therefore, the recorded temperature for Monday was -18 degrees Fahrenheit.
To determine the recorded temperature for Monday, we can follow the information given day by day and track the changes in temperature:
1. Monday: The temperature on Monday was below zero degrees Fahrenheit. However, the exact temperature is not specified.
2. Tuesday: The temperature on Tuesday was 8 degrees colder than Monday. Let's assume the temperature on Monday was represented by "M." So, the temperature on Tuesday would be M - 8 degrees Fahrenheit.
3. Wednesday: The temperature on Wednesday was twice as low as on Tuesday. So, the temperature on Wednesday would be (M - 8) * 2 degrees Fahrenheit.
4. Thursday: The temperature on Thursday was 4 degrees higher than on Wednesday. So, the temperature on Thursday would be [(M - 8) * 2] + 4 degrees Fahrenheit.
5. Friday: The temperature on Friday warmed up to -24 degrees Fahrenheit, which was just half of the temperature on Thursday. So, the temperature on Thursday would be -24 * 2 degrees Fahrenheit.
Now, let's summarize the information to find the recorded temperature for Monday:
Temperature on Tuesday: M - 8 degrees Fahrenheit
Temperature on Wednesday: (M - 8) * 2 degrees Fahrenheit
Temperature on Thursday: [(M - 8) * 2] + 4 degrees Fahrenheit
Temperature on Friday: -24 * 2 degrees Fahrenheit
Since we are given that the temperature on Friday is half the temperature on Thursday, we can set up an equation:
-24 * 2 = [(M - 8) * 2] + 4
Simplifying the equation:
-48 = 2M - 16 + 4
-48 = 2M - 12
-48 + 12 = 2M
-36 = 2M
M = -18
Therefore, the recorded temperature for Monday is -18 degrees Fahrenheit.