Question

Question

Vicky bought 312 pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c , Vicky paid for the oranges and the amount of money she spent?(1 point)
Responses

c3.90=3.5; Vicky paid $1.11.
Start Fraction c over 3.90 End Fraction equals 3.5 ; Vicky paid $1.11.

c3.5=3.90; Vicky paid $13.65.
Start Fraction c over 3.5 End Fraction equals 3.90 ; Vicky paid $13.65.

3.90c=3.5; Vicky paid $0.90.
3.90 c equals 3.5 ; Vicky paid $0.90.

3.903.5=c; Vicky paid $13.65.

Answer 1

To find the total cost \( c \) that Vicky paid for the oranges, we can use the formula for total cost, which is:

\[ c = \text{price per pound} \times \text{number of pounds} \]

In this case, the price per pound is $3.90 and the number of pounds is 312. Thus, the equation representing the total cost is:

\[ c = 3.90 \times 312 \]

Now, let's simplify this.

Calculating it gives:

\[ c = 3.90 \times 312 = 1219.80 \]

So, the correct equation that represents the total cost is:

\[ c = 3.90 \times 312 \]

None of the options provided directly match this form. However, let's analyze the format:

Consider the option with the equation \( 3.90c = 3.5 \). This does not make sense as it mixes variables inappropriately.

The option needing to represent the total cost can be correctly defined as:

\[ 3.90c = 1219.80 \] (rewritten for clarity).

Since there isn’t an option that fits correctly from the provided answers, it is safe to reject all options, but the appropriate equation form that represents the situation is indeed:

\[ c = 3.90 \times 312 \]

If the percentages or amounts provided in the options relate to the financial expenditures, based on the calculations, none of the responses make sense. Therefore, it would be best to clarify any discrepancies with the expected response choices.

Answer 2

Question
Vicky bought 312 pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c , Vicky paid for the oranges and the amount of money she spent?(1 point)
Responses

c/3.90=3.5; Vicky paid $1.11.
Start Fraction c over 3.90 End Fraction equals 3.5 ; Vicky paid $1.11.

c/3.5=3.90; Vicky paid $13.65.
Start Fraction c over 3.5 End Fraction equals 3.90 ; Vicky paid $13.65.

3.90c=3.5; Vicky paid $0.90.
3.90 c equals 3.5 ; Vicky paid $0.90.

3.903.5=c; Vicky paid $13.65.

Answer 3

To determine the total cost \( c \) that Vicky paid for 312 pounds of oranges, with each pound costing $3.90, we can derive the correct equation:

The total cost is calculated as follows:

\[ c = \text{(cost per pound)} \times \text{(number of pounds)} \] \[ c = 3.90 \times 312 \]

This means that \( c \) is the total cost Vicky spent, which can be rewritten in an equation form:

\[ c = 3.90 \times 312 \]

To match the structure of the answer options, let's check which of the equations can relate to this calculation:

1. Option 1: \( \frac{c}{3.90} = 3.5 \)

   • This implies \( c = 3.90 \times 3.5 \), which does not correspond to the total cost based on pounds.

2. Option 2: \( \frac{c}{3.5} = 3.90 \)

   • This implies \( c = 3.5 \times 3.90 \), which again is incorrect for determining the total cost based on the pounds.

3. Option 3: \( 3.90c = 3.5 \)

   • This rearranges incorrectly where \( c \) cannot be defined this way for the given information.

4. Option 4: \( 3.90 \times 3.5 = c \)

   • This also does not represent the correct cost based on the number of pounds purchased.

None of the provided options form the correct equation to represent the total cost Vicky paid for 312 pounds of oranges at $3.90 per pound.

However, to summarize, the correct equation should be something like:

\[ c = 3.90 \times 312 \]

The total cost calculated this way would then give us the actual amount spent.

If you're looking specifically among your four options, none of them seem to reflect the accurate cost calculation that pertains to 312 pounds of oranges at $3.90 per pound.

If you need the most relevant choice from those provided, the first option might be the least inappropriate but still incorrectly based off pounds.

Answer 4

wrong

Answer 5

I apologize for any confusion earlier. Let's revisit the question with your provided options more clearly in mind.

Vicky bought 312 pounds of oranges, with each pound costing $3.90. We want to find an equation that represents the total cost \( c \) Vicky paid.

The total cost \( c \) can be calculated using the formula:

\[ c = \text{price per pound} \times \text{number of pounds} \] \[ c = 3.90 \times 312 \]

Now, let's analyze the options provided:

1. Option 1: \( \frac{c}{3.90}=3.5 \)

   • Rearranging gives \( c = 3.90 \times 3.5 \). This does not represent the total cost based on pounds purchased.

2. Option 2: \( \frac{c}{3.5}=3.90 \)

   • Rearranging gives \( c = 3.5 \times 3.90 \). This also does not match the calculation.

3. Option 3: \( 3.90c=3.5 \)

   • This is incorrect as \( c \) cannot be isolated in a meaningful way relevant to pounds and price.

4. Option 4: \( 3.90 \times 3.5 = c \)

   • This also doesn’t reflect the cost calculation based on the purchase details.

None of these options correctly represent \( c = 3.90 \times 312 \).

However, analyzing with respect to the proper calculation:

1. Total cost for \( c \) can be evaluated to find \( 3.90 \times 312 \).
   • The mathematical calculation would yield \( c = 1219.80 \), not any of the defined equations.

The correct representation based on the question should have an equation reflecting the multiplication of total pounds and price, without any provided options aligning.

If one must choose from these options based on the least discrepancy:

Response 1 (c / 3.90 = 3.5) is the only one that somewhat aligns, albeit incorrectly, but certainly not accurately conveys the total costs. Again, no option accurately reflects the appropriate representation of the total cost as intended in the question.