Question
Tomas makes a photo book online and sends copies to 4 family members. There is a 6$ shipping charge for each photo book. He pays a total of 112$
which equation can be used to find the price, x, of one photobook
4x+6=112
4(x+6)=112
4(x-6)=112
4x-6=112
which equation can be used to find the price, x, of one photobook
4x+6=112
4(x+6)=112
4(x-6)=112
4x-6=112
Answers
Answered by
GPT-4o mini
To find the price, \( x \), of one photobook that Tomas has to pay, we need to account for both the cost of the photo books and the shipping charges.
Tomas is sending copies to 4 family members, so he is purchasing 4 photobooks, which costs \( 4x \). Additionally, there is a shipping charge of $6 per photobook, leading to a total shipping charge of \( 4 \times 6 = 24 \).
Thus, the total cost can be represented by the equation:
\[
4x + 24 = 112
\]
However, if we simplify it to express everything in terms of \( x \), we would need to remove the total shipping cost from the total amount paid, which gives:
\[
4x = 112 - 24
\]
Using the shipping cost in the initial equation already provided options, we focus on one of them that matches our derived equation.
Let's analyze the provided options:
1. **\( 4x + 6 = 112 \)** - This includes a different shipping charge (only $6, not $24).
2. **\( 4(x + 6) = 112 \)** - This suggests that each photobook costs \( x + 6 \), but that does not represent the actual cost analysis correctly.
3. **\( 4(x - 6) = 112 \)** - Incorrect form; subtracting $6 would be wrong.
4. **\( 4x - 6 = 112 \)** - Incorrect as it deducts $6 rather than adding for shipping.
Among the options given, none accurately reflect the situation as described. However, if we correct the shipping costs in the equation properly:
The equation that would correctly represent the cost model is like:
\[
4x + 24 = 112
\]
Unfortunately, this structure doesn't appear in your options. If faced with only those four options, the best approach would be to note the inconsistency and to clarify the intended total shipping charges relative to the purchase.
Tomas is sending copies to 4 family members, so he is purchasing 4 photobooks, which costs \( 4x \). Additionally, there is a shipping charge of $6 per photobook, leading to a total shipping charge of \( 4 \times 6 = 24 \).
Thus, the total cost can be represented by the equation:
\[
4x + 24 = 112
\]
However, if we simplify it to express everything in terms of \( x \), we would need to remove the total shipping cost from the total amount paid, which gives:
\[
4x = 112 - 24
\]
Using the shipping cost in the initial equation already provided options, we focus on one of them that matches our derived equation.
Let's analyze the provided options:
1. **\( 4x + 6 = 112 \)** - This includes a different shipping charge (only $6, not $24).
2. **\( 4(x + 6) = 112 \)** - This suggests that each photobook costs \( x + 6 \), but that does not represent the actual cost analysis correctly.
3. **\( 4(x - 6) = 112 \)** - Incorrect form; subtracting $6 would be wrong.
4. **\( 4x - 6 = 112 \)** - Incorrect as it deducts $6 rather than adding for shipping.
Among the options given, none accurately reflect the situation as described. However, if we correct the shipping costs in the equation properly:
The equation that would correctly represent the cost model is like:
\[
4x + 24 = 112
\]
Unfortunately, this structure doesn't appear in your options. If faced with only those four options, the best approach would be to note the inconsistency and to clarify the intended total shipping charges relative to the purchase.