Sally’s Seashore Rentals has snorkels available for $2 and fins for $1. Josiah has $10 to spend on rentals for himself and his parents. Write a two-variable inequality to determine if the point (3,3) represents a viable solution in this case. Enter 1 for yes or 2 for no. (1 point)

1 answer

Let \(x\) represent the number of snorkels rented and \(y\) represent the number of fins rented. The cost of the snorkels is $2 each, and the cost of the fins is $1 each.

The total spent can be expressed as: \[ 2x + y \leq 10 \]

Now, let's evaluate the point (3, 3):

  • \(x = 3\) (snorkels)
  • \(y = 3\) (fins)

Substituting these values into the inequality: \[ 2(3) + 3 \leq 10 \] \[ 6 + 3 \leq 10 \] \[ 9 \leq 10 \]

This is true.

Therefore, the point (3, 3) does represent a viable solution.

The answer is: 1 (for yes).