Answer :
To solve the problem, let's break down the information given step by step:
1. We know the temperature in Miami is 82 degrees.
2. We know that Miami's temperature is 22 degrees warmer than three times the temperature in Bangor.
Let's represent the temperature in Bangor by [tex]\( x \)[/tex].
According to the problem:
- The temperature in Miami is [tex]\( 22 \)[/tex] degrees warmer than [tex]\( 3 \)[/tex] times the temperature in Bangor.
- Therefore, we can write the equation as:
[tex]\[ 82 = 3x + 22 \][/tex]
We need to identify the correct form of this equation from the given choices:
a) [tex]\( 3x + 82 = 22 \)[/tex]
b) [tex]\( 3x + 22 = 82 \)[/tex]
c) [tex]\( 3x - 22 = 82 \)[/tex]
Comparing our equation, [tex]\( 82 = 3x + 22 \)[/tex], with the options, it matches option b) [tex]\( 3x + 22 = 82 \)[/tex].
Thus, the correct equation to determine the temperature in Bangor is:
[tex]\[ \boxed{3x + 22 = 82} \][/tex]
1. We know the temperature in Miami is 82 degrees.
2. We know that Miami's temperature is 22 degrees warmer than three times the temperature in Bangor.
Let's represent the temperature in Bangor by [tex]\( x \)[/tex].
According to the problem:
- The temperature in Miami is [tex]\( 22 \)[/tex] degrees warmer than [tex]\( 3 \)[/tex] times the temperature in Bangor.
- Therefore, we can write the equation as:
[tex]\[ 82 = 3x + 22 \][/tex]
We need to identify the correct form of this equation from the given choices:
a) [tex]\( 3x + 82 = 22 \)[/tex]
b) [tex]\( 3x + 22 = 82 \)[/tex]
c) [tex]\( 3x - 22 = 82 \)[/tex]
Comparing our equation, [tex]\( 82 = 3x + 22 \)[/tex], with the options, it matches option b) [tex]\( 3x + 22 = 82 \)[/tex].
Thus, the correct equation to determine the temperature in Bangor is:
[tex]\[ \boxed{3x + 22 = 82} \][/tex]
