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

To formulate the two-variable inequality based on the given conditions:

Let \( x \) represent the number of snorkels rented and \( y \) represent the number of fins rented. The costs are given as follows:
- Snorkels: \( 2x \) dollars
- Fins: \( 1y \) dollar

Josiah has a total of $10 to spend, so the inequality can be expressed as:

\[
2x + y \leq 10
\]

Now, we will check if the point \( (3, 3) \) satisfies this inequality. Here, \( x = 3 \) and \( y = 3 \).

Substituting these values into the inequality:

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

Calculating the left side:

\[
6 + 3 = 9
\]

Now, comparing with $10:

\[
9 \leq 10
\]

Since this is true, the point \( (3, 3) \) does represent a viable solution. Therefore, the answer is:

**1 (yes)**