VIcky bought 3 1/2 pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c, Vicky for the oranges and the amount of money she spent?

Question

c/3.5 = 3.90; Vickey paid $13.65

3.90c = 3.5; Vickey paid $0.90

c/3.90 = 3.5; Vickey paid $ 1.11

3.90/3.5 = c; Vickey paid $13.65

Answer 1

To find the total cost \( c \) that Vicky paid for the oranges, we need to multiply the weight of the oranges by the cost per pound. The weight of the oranges is 3.5 pounds, and the cost per pound is $3.90.

So, the equation to represent the total cost \( c \) is:

\[ c = 3.5 \times 3.90 \]

Calculating this gives:

\[ c = 3.5 \times 3.90 = 13.65 \]

Among the provided options, we can find the one that corresponds correctly with this relationship:

1. c/3.5 = 3.90; Vicky paid $13.65 - This does not represent the correct relationship since \( c \) is not divided by 3.5 to get $3.90.
2. 3.90c = 3.5; Vicky paid $0.90 - This is incorrect since it suggests \( c \) would equal a different relationship.
3. c/3.90 = 3.5; Vicky paid $1.11 - This is incorrect as well; it doesn't represent the total cost correctly.
4. 3.90/3.5 = c; Vicky paid $13.65 - This is also incorrect since it states the cost incorrectly.

None of the listed options correctly represent the total cost \( c \) Vicky paid for the oranges; however, based on the calculations, Vicky indeed paid $13.65.

The proper representation of the total cost would ideally be:

\[ c = 3.5 \times 3.90 \]

To summarize, while the answer that nearest corresponds with what Vicky paid is the role of potentially providing the total cost in that setting, none of the equations represent the equation needed to derive the total cost formulaically.

Correct equation: \( c = 3.5 \times 3.90 = 13.65 \).