Question

this graph shows how dannys bank account balance is related to the number of admission tickets he purchases. how many admission tickets does danny need to buy to get the account balance down to $3? \boxed{} admission tickets

Explanation:

Step1: Find ticket cost

From the graph: when 0 tickets bought, balance = $\$9$; when 6 tickets bought, balance = $\$0$.
Cost per ticket: $\frac{9 - 0}{6 - 0} = \$1.50$

Step2: Calculate total amount to spend

Target balance = $\$3$, initial balance = $\$9$.
Amount to spend: $9 - 3 = \$6$

Step3: Find number of tickets

Number of tickets = $\frac{\text{Total amount to spend}}{\text{Cost per ticket}}$
$\frac{6}{1.5} = 4$

Answer:

4 admission tickets