Answer :
To solve this problem, let's break it down step-by-step:
1. Understand the Problem: Each class is tasked to collect 190 cans. If there are [tex]$c$[/tex] classes, we need to determine the total number of cans collected, which we can call [tex]$T$[/tex].
2. Determine the Relationship: Since each class collects 190 cans, the total number of cans collected by all [tex]$c$[/tex] classes will be the sum of the cans collected by each class. This means we multiply the number of classes, [tex]$c$[/tex], by the number of cans each class collects, which is 190.
3. Write the Mathematical Expression: To find the total number of cans, we multiply the constant number of cans each class collects (190) by the number of classes ([tex]$c$[/tex]):
[tex]\[
T = 190 \times c
\][/tex]
4. Match with Options: Now, let's match this expression with the given options:
- A. [tex]\( T = 190c \)[/tex]
- B. [tex]\( T = 190 + c \)[/tex]
- C. [tex]\( T = \frac{c}{190} \)[/tex]
- D. [tex]\( T = \frac{190}{c} \)[/tex]
The correct expression is given in option A: [tex]\( T = 190c \)[/tex].
Therefore, the answer is A. [tex]\( T = 190c \)[/tex].
1. Understand the Problem: Each class is tasked to collect 190 cans. If there are [tex]$c$[/tex] classes, we need to determine the total number of cans collected, which we can call [tex]$T$[/tex].
2. Determine the Relationship: Since each class collects 190 cans, the total number of cans collected by all [tex]$c$[/tex] classes will be the sum of the cans collected by each class. This means we multiply the number of classes, [tex]$c$[/tex], by the number of cans each class collects, which is 190.
3. Write the Mathematical Expression: To find the total number of cans, we multiply the constant number of cans each class collects (190) by the number of classes ([tex]$c$[/tex]):
[tex]\[
T = 190 \times c
\][/tex]
4. Match with Options: Now, let's match this expression with the given options:
- A. [tex]\( T = 190c \)[/tex]
- B. [tex]\( T = 190 + c \)[/tex]
- C. [tex]\( T = \frac{c}{190} \)[/tex]
- D. [tex]\( T = \frac{190}{c} \)[/tex]
The correct expression is given in option A: [tex]\( T = 190c \)[/tex].
Therefore, the answer is A. [tex]\( T = 190c \)[/tex].
