Question

Jay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which fuction can be used to find the number of rides he went on?

Answer 1

Answer:

The function that can be used to find the number of rides is equal to $x=\frac{(y-10.50)}{4.50}$

$8\ rides$

Step-by-step explanation:

Let

x------> the number of rides

y------> the total cost of entrance fees and rides

we know that

The linear equation that represent the total cost is equal to

$y=10.50+4.50x$

Solve for x

$x=\frac{(y-10.50)}{4.50}$

For $y=\ 46.50$

Find the value of x

Substitute the value of y in the equation

$x=\frac{46.50-10.50}{4.50}=8\ rides$

Answer 2

Answer:

Let total number of rides be represented by x

And total amount spent on the ride and entry fees be y

Entry fees of the park = $10.50

Also, Charge for each ride is given to be $4.50

So, The linear function which describes the situation :

y = 10.50 + 4.50x

Now, Its given that Jay spent a total of $46.50 in the park

So, to find total number of rides taken substitute y = 46.50 in the above linear equation.

⇒ 46.50 = 10.50 + 4.50x

⇒ 4.50x = 36

⇒ x ≈ 8

Thus, Number of rides taken = 8