Question

the roberts family is shopping for a new car. they are considering a minivan or an suv. those vehicles come in red, gold, green, silver, or blue. each vehicle has three models; standard (s), sport (p), or luxury (l). use the tree diagram to answer the question. how many choices does the family have?

Explanation:

Step1: Identify categories

Vehicle types: 2 (Minivan, SUV).
Colors: 5 (Red, Gold, Green, Silver, Blue).
Models: 3 (S, P, L).

Step2: Apply multiplication principle

Total choices = Vehicle types × Colors × Models.
Substitute values: \( 2 \times 5 \times 3 \).

Step3: Calculate result

\( 2 \times 5 = 10 \), then \( 10 \times 3 = 30 \).

Answer:

30