A school is having a canned food drive. Each class is challenged to collect 190 cans. If there are [tex]c[/tex] classes, which equation could be used to find the total number of cans, [tex]T[/tex], the school will collect if each class meets the challenge?

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]

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].