Question

Lionel is planning a one-day outing.

Answer 1

Answer:

Option B - $y=5x+40$ and  $y=3x+60$

Step-by-step 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.

Answer 2

Answer:

$y= 40+5x$

$y= 60+3x$

Step-by-step 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 .