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10 days ago

8

Lionel is planning a one-day outing.

2 answers:

AnnZ [12.3K]10 days ago

6 0

Response:

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

Detailed explanation:

Given: The Thrill amusement park has an entrance fee of $40 and charges $5 for each ride, x. The Splash water park demands an entry fee of $60 and $3 extra per ride, x.

To determine: Which equations can be used to find where the cost per ride, y, becomes equivalent at both amusement parks?

Solution:

Let x designate the number of rides and

y represent the cost per ride.

Based on the details,

The Thrill amusement park database includes an entry fee of $40 and charges $5 for each ride.

The equation format will be $y=40+5x$

While the Splash water park charges an entry fee of $60 and an extra $3 per ride.

The equation format here is $y=60+3x$

Therefore, the required system of equations is

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

Consequently, Option B is valid.

Leona [12.6K]10 days ago

4 0

Response:

$y= 40+5x$

$y= 60+3x$

Detailed explanation:

Thrill amusement park

Entry cost = $40

Cost for one ride = $5

Let x represent the number of rides

Cost for x rides = 5x

Thus, Total cost = 40+5x

Let y denote the total cost

So, the Total cost now reads $y= 40+5x$

Splash water park

Entry charge = $60

Cost for one ride = $3

Let x be the number of rides

Cost of x rides = 3x

As a result, Total cost = 60+3x

Noting that y is the total cost

Hence, the system of equations necessary to ascertain where the cost per ride coincides in both parks is:

$y= 40+5x$

$y= 60+3x$

Thus, Option B is accurate.

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