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 function can be used to find the numbers of rides he went on ?

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