Let's go through the questions one by one.
Question 1:
There are 8 cars and 4 people in each car. To find out how many people are going to the museum, you multiply the number of cars by the number of people per car:
\( 8 \text{ cars} \times 4 \text{ people per car} = 32 \text{ people} \)
So the correct answer is 32.
Question 2:
If 9 cars go to the museum instead, we want to find out how many people are going to the museum using the information from the first question.
Using the same logic, if there are 4 people in each car, the total number of people going to the museum is:
\( 9 \text{ cars} \times 4 \text{ people per car} = 36 \text{ people} \)
However, looking at the response options provided, we need an expression to represent that.
The options are:
- (8 x 4) + 1
- (8 x 4) + 9
- (8 x 4) + 4
- (8 x 9)
From the first question we know \( 8 \times 4 = 32 \).
The best way to express the calculation for the second question using the first question’s result would actually be:
\((8 \times 4) + 4\)
This gives you \( 32 + 4 = 36 \), which accounts for the 1 extra car (1 car has 4 additional people).
So, the most appropriate choice is (8 x 4) + 4.