To find the total cost, \( c \), Vicky paid for the oranges, you can set up the equation based on the price per pound and the weight of oranges she bought.
Vicky bought \( 3 \frac{1}{2} \) pounds of oranges, which can be expressed as \( 3.5 \) pounds. Each pound costs \( 3.90 \). The total cost \( c \) can be calculated using the equation:
\[ c = (\text{number of pounds}) \times (\text{cost per pound}) \] \[ c = 3.5 \times 3.90 \]
Now, let's perform the calculation:
\[ c = 3.5 \times 3.90 = 13.65 \]
Thus, the equation representing the total cost is:
\[ c = 3.5 \times 3.90 \]
Now, let's analyze the options provided:
- c/3.90 = 3.5; Vicky paid $1.11.
- 3.90/3.5 = c; Vicky paid $13.65.
- c/3.5 = 3.90; Vicky paid $13.65.
- 3.90c = 3.5; Vicky paid $0.90.
The correct way to express the total cost \( c \) is not directly among the options, but it can be noted that the calculation of \( 3.5 \times 3.90 = 13.65 \) aligns with \( c = 13.65 \).
The most relevant option is:
3.90/3.5 = c; Vicky paid $13.65.
This option correctly uses the relationship of price per pound to total cost and gives the correct total amount spent.