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

The function that can be used to find the number of rides is equal to
`x=((y-10.50))/(4.50)`

`8\ rides`

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=((y-10.50))/(4.50)`

For
`y=\$46.50`

Find the value of x

Substitute the value of y in the equation

`x=(46.50-10.50)/(4.50)=8\ rides`

Answer 2

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