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's define the variables:

  • Let \( x \) be the number of snorkels rented.
  • Let \( y \) be the number of fins rented.

The cost of snorkels is $2 each, and the cost of fins is $1 each. Josiah has $10 to spend, so the inequality representing the total cost is:

\[ 2x + y \leq 10 \]

Now, substituting the point \( (3, 3) \) into the inequality to check if it represents a viable solution:

\[ 2(3) + 3 \leq 10 \] \[ 6 + 3 \leq 10 \] \[ 9 \leq 10 \]

Since this statement is true, the point \( (3, 3) \) is a viable solution.

Therefore, the answer is:

1 (for yes).