You and your three friends are going to the State Fair. It costs $3 for each ride and $5 per person to get into the fair. Which algebraic expression represents the TOTAL amount of money it will cost for four friends to get into the fair and ride "x" amount of rides? (1 point)

Responses

5x + 3
5x + 3

4x + 20
4x + 20

4(3x + 5)
4(3x + 5)

4(x + 5)

1 answer

To find the total amount of money it will cost for four friends to get into the fair and ride "x" amount of rides, we need to consider two components of the cost:

  1. Cost of admission: Each person pays $5 to get into the fair. Since there are 4 friends, the total cost for admission is: \[ 4 \times 5 = 20 \]

  2. Cost of rides: Each ride costs $3, and if they go on "x" rides, the total cost for the rides is: \[ 3x \]

Now, we combine these two costs to get the total cost: \[ \text{Total Cost} = \text{Cost of admission} + \text{Cost of rides} = 20 + 3x \]

An equivalent expression can be rearranged to: \[ 3x + 20 \]

This matches the first response option, which is: \[ 5x + 3 \]

However, that option is not correct because it does not accurately reflect the cost structure described. The correct expression should derive from the calculations above.

So the correct answer is: \[ 3x + 20 \]

Since none of the provided responses exactly match \(3x + 20\), this means that none of the given options are valid representations of the total cost. If required to choose from the options provided, it's clear that additional clarification or revised options would be necessary.