Question

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)

Answer 1

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).