Question

Lionel is planning a one-day outing.

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

Based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Answer 1

`y= 40+5x`

`y= 60+3x`

Explanation:

Thrill amusement park

Entry fee = $40

Cost of 1 ride = $5

Let x be teh no. of rides

Cost of x rides = 5x

So, Total cost = 40+5x

Let the total cost be y

So,Total cost =
`y= 40+5x`

Splash water park

Entry fee = $60

Cost of 1 ride = $3

Let x be the no. of rides

Cost of x rides = 3x

So, Total cost = 60+3x

Let the total cost be y

So,Total cost =
`y= 60+3x`

So, system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same is :

`y= 40+5x`

`y= 60+3x`

Hence Option B is true .

Answer 2

Option B -
`y=5x+40` and
`y=3x+60`

Explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Solution :

Let x be the number of rides and

y be the cost per ride.

According to question,

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

The equation form is
`y=40+5x`

The Splash water park charges an entry fee of $60 and an additional $3 per ride.

The equation form is
`y=60+3x`

Therefore, The required system of equations form are

`y=5x+40` and
`y=3x+60`

So,Option B is correct.