Question

A tree diagram with 30 outcomes.
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?

Answer 1

To find the total number of choices the Roberts family has for a new car, we can consider the different categories that affect their decision:

1. **Type of Vehicle**: There are 2 options (Minivan or SUV).
2. **Color**: There are 5 color options (Red, Gold, Green, Silver, Blue).
3. **Model**: There are 3 models (Standard (S), Sport (P), Luxury (L)).

To determine the total number of combinations, we can multiply the number of choices in each category:

\[
\text{Total choices} = (\text{Number of vehicle types}) \times (\text{Number of colors}) \times (\text{Number of models})
\]

Now, plugging in the numbers:

\[
\text{Total choices} = 2 \text{ (types of vehicles)} \times 5 \text{ (colors)} \times 3 \text{ (models)} = 2 \times 5 \times 3 = 30
\]

Therefore, the family has **30 choices** for their new car.