Question

1. lance decided they wanted to go to the neighborhood carnival during spring break. the carnival charges a one - time entry fee of $13.50 and $2.50 per ride.

• define a variable and write an expression that represents the scenario.
• if lance saved $50 to attend the carnival, how many rides can he ride?
• show your work or explain how you found your answer.

directions: unlock the prompt.

• read the task carefully
• circle the key direction verb
• underline important ideas
• restate what the problem is asking you to do in your own words
• and develop your plan for answering the problem.
• restate what the problem is asking you to do in your own words

i will

• the necessary facts in this problem are
• my plan of action is/are
• carry out the plan/ examine your results - answer

a. define a variable and write an expression that represents the scenario.
variable: _
expression: _
explain your answer.
if lance saved $50 to attend the carnival, how many rides can he

Explanation:

Step 1: Define the variable

Let \( r \) be the number of rides Lance can take.

Step 2: Identify the costs

The one - time entry fee is \( \$12.50 \) and the cost per ride is \( \$2.50 \). The total amount of money Lance can spend is \( \$50 \).

Step 3: Set up the equation

The total cost of going to the carnival is the sum of the entry fee and the cost of the rides. The cost of the rides is \( 2.50r \) (since each ride costs \( \$2.50 \) and he takes \( r \) rides), and the entry fee is \( \$12.50 \). So the equation is \( 12.50+2.50r = 50 \).

Step 4: Solve for \( r \)

First, subtract \( 12.50 \) from both sides of the equation:
\( 2.50r=50 - 12.50 \)
\( 2.50r = 37.50 \)
Then, divide both sides by \( 2.50 \):
\( r=\frac{37.50}{2.50}=15 \)

Answer:

Lance can ride 15 times.