Question

1. connor is going snowboarding. he has at most $480 to spend on the trip. lift tickets cost $62 per day. he bought a new snowboard for $200. how many days can he snowboard? type a response a.5.c

Explanation:

Step1: Define variables and inequality

Let \( d \) be the number of days. The total cost is the cost of the snowboard plus the cost of lift tickets per day times the number of days, and this must be less than or equal to \( 480 \). So the inequality is \( 200 + 62d \leq 480 \).

Step2: Solve for \( d \)

Subtract \( 200 \) from both sides: \( 62d \leq 480 - 200 \) which simplifies to \( 62d \leq 280 \). Then divide both sides by \( 62 \): \( d \leq \frac{280}{62} \approx 4.516 \). Since the number of days must be a whole number, we take the largest integer less than or equal to \( 4.516 \).

Answer:

4 (Connor can snowboard for 4 days as the number of days must be a non - negative integer and 4 is the largest integer less than or equal to 4.516)