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Answer :
To solve the problem and find which equation can be used to find the amount of money, [tex]\( x \)[/tex], it costs to check a bag that's under the weight limit, we need to break down the information given:
1. Total cost Dale paid: [tex]$190
2. Additional fee for each bag over the weight limit: $[/tex]8 per bag
3. Number of bags: 5
We are looking for the cost of checking a bag that's under the weight limit, which we'll call [tex]\( x \)[/tex]. For each bag, there is an additional [tex]$8 fee because they are all over the weight limit.
Let's set up the equation that represents the total cost:
- The cost of checking 5 bags under the weight limit would be \( 5x \).
- Since each of the 5 bags incurs an additional $[/tex]8 fee, the total additional cost is [tex]\( 5 \times 8 \)[/tex].
- The sum of the cost of checking the bags (5x) and the additional fees ([tex]$40) is equal to the total cost Dale paid, $[/tex]190.
So, the equation is:
[tex]\[ 5x + 5 \times 8 = 190 \][/tex]
Simplifying the equation:
- Calculate the additional fees: [tex]\( 5 \times 8 = 40 \)[/tex]
- Substitute back into the equation:
[tex]\[ 5x + 40 = 190 \][/tex]
Therefore, the equation can be used to solve for [tex]\( x \)[/tex], the cost per bag that is under the weight limit.
The correct option is:
5x + 40 = 190
From the provided choices, the correct representation would directly match the scenario described. However, since none of the given options directly correspond to this simplified equation, it seems our understanding might require further reflection on the choices provided.
1. Total cost Dale paid: [tex]$190
2. Additional fee for each bag over the weight limit: $[/tex]8 per bag
3. Number of bags: 5
We are looking for the cost of checking a bag that's under the weight limit, which we'll call [tex]\( x \)[/tex]. For each bag, there is an additional [tex]$8 fee because they are all over the weight limit.
Let's set up the equation that represents the total cost:
- The cost of checking 5 bags under the weight limit would be \( 5x \).
- Since each of the 5 bags incurs an additional $[/tex]8 fee, the total additional cost is [tex]\( 5 \times 8 \)[/tex].
- The sum of the cost of checking the bags (5x) and the additional fees ([tex]$40) is equal to the total cost Dale paid, $[/tex]190.
So, the equation is:
[tex]\[ 5x + 5 \times 8 = 190 \][/tex]
Simplifying the equation:
- Calculate the additional fees: [tex]\( 5 \times 8 = 40 \)[/tex]
- Substitute back into the equation:
[tex]\[ 5x + 40 = 190 \][/tex]
Therefore, the equation can be used to solve for [tex]\( x \)[/tex], the cost per bag that is under the weight limit.
The correct option is:
5x + 40 = 190
From the provided choices, the correct representation would directly match the scenario described. However, since none of the given options directly correspond to this simplified equation, it seems our understanding might require further reflection on the choices provided.
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