A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10 AM. If the temperature drops by 3 degrees Fahrenheit every hour, what will be the temperature by 2 PM of the same day?
Share
A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10 AM. If the temperature drops by 3 degrees Fahrenheit every hour, what will be the temperature by 2 PM of the same day?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
-4 degrees Fahrenheit
Step-by-step explanation:
10AM 8 F
11AM 5F
12PM 2F
1PM -1F
2PM -4F
Answer:
The temperature will be -4 °F at 2 PM.
Step-by-step explanation:
This problem is an example of Arithmetic Sequence.
Given:
[tex]x1 = 8[/tex]
[tex]d = -3[/tex]
[tex]n = \frac{2 PM - 9 AM}{1hr} = 5[/tex]
[tex]x5 = ?[/tex]
Formula:
[tex]xn = x1 + (n - 1)d[/tex]
Solution:
[tex]x5 = 8 + (5 - 1)( - 3)[/tex]
↓
[tex]x5 = 8 + 4( - 3)[/tex]
↓
[tex]x5 = 8 - 12[/tex]
↓
[tex]x5 = - 4[/tex]
The temperature will be -4 °F at 2 PM.
#CarryOnLearning