Last Sunday, the average temperature was
8
%
8%8, percent higher than the average temperature two Sundays ago. The average temperature two Sundays ago was
�
TT degrees Celsius.
Which of the following expressions could represent the average temperature last Sunday?
Choose 2 answers:
Choose 2 answers:
(Choice A)
1.08
�
1.08T1, point, 08, T
A
1.08
�
1.08T1, point, 08, T
(Choice B)
(
1
+
8
100
)
�
(1+
100
8
)Tleft parenthesis, 1, plus, start fraction, 8, divided by, 100, end fraction, right parenthesis, T
B
(
1
+
8
100
)
�
(1+
100
8
)Tleft parenthesis, 1, plus, start fraction, 8, divided by, 100, end fraction, right parenthesis, T
(Choice C)
�
+
0.08
T+0.08T, plus, 0, point, 08
C
�
+
0.08
T+0.08T, plus, 0, point, 08
(Choice D)
1.8
�
1.8T1, point, 8, T
D
1.8
�
1.8T1, point, 8, T
(Choice E)
�
+
8
T+8T, plus, 8
E
�
+
8
T+8
T, plus, 8
no.
I apologize for the incorrect response. The two correct expressions that could represent the average temperature last Sunday are:
A) 1.08T (1.08 times T)
B) (1 + 8/100)T (1 plus 8 divided by 100, times T)
The correct answers are:
(Choice B)
(
1
+
8
100
)
�
(1+
100
8
)T [Option B represents the average temperature last Sunday correctly.]
(Choice C)
�
+
0.08
T+0.08T [Option C represents the average temperature last Sunday correctly.]
To solve this question, we need to understand that the average temperature last Sunday was 8% higher than the average temperature two Sundays ago. Let's break down the problem step by step:
1. Let's represent the average temperature two Sundays ago as T degrees Celsius.
2. Since the average temperature last Sunday was 8% higher than two Sundays ago, we need to find 8% of T and add it to T. This can be represented as T + 0.08T.
3. Simplifying step 2 gives us 1.08T, which represents the average temperature last Sunday.
Now let's examine the answer choices and determine which ones match our representation:
A) 1.08T: This matches our representation and is a valid answer.
B) (1 + 8/100)T: This expression represents the average temperature last Sunday, but it is not in the simplest form. Simplifying it gives us (1.08)T, which matches our representation. So, this is also a valid answer.
C) T + 0.08T: This matches our representation and is a valid answer.
D) 1.8T: This expression does not represent the average temperature last Sunday since it assumes a 80% increase instead of 8%. So, this is not a valid answer.
E) T + 8T: This expression assumes a 800% increase instead of 8%. So, this is not a valid answer.
Based on our analysis, the correct answer choices are A) 1.08T and C) T + 0.08T.