To determine the correct equation that matches Jamahl's situation, we need to consider the following details:
1. Jamahl has a total of [tex]$45.
2. He is buying \( t \) tickets.
3. Each ticket costs $[/tex]5.
We need to find an equation that relates the total amount of money Jamahl has to the cost of the tickets and the number of tickets.
First, let's define the total cost equation:
- The total cost for [tex]\( t \)[/tex] tickets at [tex]$5 each is given by multiplying the number of tickets \( t \) by the price per ticket ($[/tex]5).
Thus, the total cost [tex]\( C \)[/tex] can be expressed as:
[tex]\[ C = 5t \][/tex]
We know that Jamahl has [tex]$45 in total to spend, so the total cost \( C \) should be equal to $[/tex]45:
[tex]\[ 45 = 5t \][/tex]
Let's examine each provided option to see which matches this equation:
(A) [tex]\( 45 = 5t \)[/tex]
This option states that the total amount of [tex]$45 is equal to the cost of \( t \) tickets at $[/tex]5 each. This directly matches our derived equation and is the correct answer.
(B) [tex]\( t = 5 \times 45 \)[/tex]
This option states that the number of tickets [tex]\( t \)[/tex] is the product of [tex]$5 and $[/tex]45. This does not make sense in the context of our situation since multiplying the cost per ticket by the total amount of money does not give the number of tickets.
(C) [tex]\( \frac{5}{45} = t \)[/tex]
This option states that the number of tickets [tex]\( t \)[/tex] is given by dividing [tex]$5 by the total amount of $[/tex]45. This would incorrectly suggest that [tex]\( t \)[/tex] is a fraction, which does not align with our equation or the problem context.
Therefore, based on our analysis and the provided detail:
- The correct equation that matches the situation is (A) [tex]\( 45 = 5t \)[/tex].
