Question

adam and lina each buy 4 concert tickets online. adam is charged a fee of $8 for each ticket. lina is charged a fee of $8 for the entire purchase. they each spend a total of $100. let x and y represent ticket prices. match each model with the purchase it represents. adams purchase 4 tickets and 4 fees linas purchase 4 tickets and 1 fee

Explanation:

Step1: Analyze Adam's Purchase

Adam buys 4 tickets and has a $8 fee per ticket. So for each ticket, the cost is \( y + 8 \) (ticket price \( y \) plus fee \( 8 \)), and he has 4 of these, so the model is \( 4(y + 8) \), which matches the second model (\( y + 8, y + 8, y + 8, y + 8 \) summing to 100).

Step2: Analyze Lina's Purchase

Lina buys 4 tickets and has a $8 fee for the entire purchase. So 4 tickets cost \( 4x \) and then +8 fee, so the model is \( 4x + 8 \), which matches the first model (\( x, x, x, x, 8 \) summing to 100).

Answer:

Adam’s purchase (4 tickets and 4 fees) matches the model with \( y + 8, y + 8, y + 8, y + 8 \) (total 100).
Lina’s purchase (4 tickets and 1 fee) matches the model with \( x, x, x, x, 8 \) (total 100).