Question

Ana is going to the carnival. She wants to ride at least 5 rides, and she has $30 to spend. She wants to ride theroller coasters at least 3 times. Roller coaster rides cost $3 each, and other rides cost $2 each. Graph the systemof inequalities to show all the possible combinations of tickets Ana can buy. List two possible combinations.

Answer 1

3 coaster rides and 2 other rides

8 coaster rides and 1 other ride

Step-by-step explanation:

We were given that:

Ana goes to the carnival with $30. She wants to ride at least 5 rides.

She wants to ride at least 3 roller coasters

Roller coaster rides cost $3 each

Other rides cost $2 each

We will develop this system of inequalities:

`\begin{gathered} x+y\ge5--------1 \\ 3x+2y\leq30-------2 \end{gathered}`

We will proceed to graph this as shown below:

Therefore, the correct option is the graph with the combination:

3 coaster rides and 2 other rides

8 coaster rides and 1 other ride