Jay went to am 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 number 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