Answer:
The function that can be used to find the number of rides is equal to [tex]x=\frac{(y-10.50)}{4.50}[/tex]
[tex]8\ rides[/tex]
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
[tex]y=10.50+4.50x[/tex]
Solve for x
[tex]x=\frac{(y-10.50)}{4.50}[/tex]
For [tex]y=\$46.50[/tex]
Find the value of x
Substitute the value of y in the equation
[tex]x=\frac{46.50-10.50}{4.50}=8\ rides[/tex]
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
