Question

f(x)= 35, 1<=x<=5
30, 6<=x<=10
25, x>=11
Grace and her family are going to an amusement park How much will it cost for 5 tickets

Answer 1

To determine the cost for 5 tickets based on the given piecewise function \( f(x) \), we need to first identify the appropriate cost per ticket based on the range of \( x \).

Since Grace and her family are buying 5 tickets, we need to see where this falls under the defined ranges:

- For \( 1 \leq x \leq 5 \), the cost per ticket is \( 35 \).
- For \( 6 \leq x \leq 10 \), the cost per ticket is \( 30 \).
- For \( x \geq 11 \), the cost per ticket is \( 25 \).

Since \( 5 \) (the number of tickets) falls within the first range (\( 1 \leq x \leq 5 \)), the cost for one ticket is \( 35 \).

Now, calculate the total cost for 5 tickets:

\[
\text{Total Cost} = \text{Number of Tickets} \times \text{Cost per Ticket}
\]
\[
\text{Total Cost} = 5 \times 35 = 175
\]

Therefore, the total cost for 5 tickets will be **$175**.