Question

Nicholas has some cans at home to donate to the soup kitchen, but decides to start a can drive at his school to see if others will help. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected.

Which statements are true based on the equation given. Select all that apply.
Nicholas had 235 cans at home.
The school collected 235 cans a day.
Nicholas had 15 cans at home.
The school collected 15 cans daily.

Answer 1

To analyze the equation \( y = 235x + 15 \):

- \( y \) represents the total number of cans collected after \( x \) days.
- The term \( 235x \) indicates that for each day (\( x \)), 235 cans are collected.
- The constant \( 15 \) indicates that Nicholas initially had 15 cans available at home.

Now, let's evaluate each statement:

1. **Nicholas had 235 cans at home.**
- This is **false**. The 235 represents the rate of collection, not the initial amount at home.

2. **The school collected 235 cans a day.**
- This is **true**. The term \( 235x \) indicates that 235 cans are collected each day.

3. **Nicholas had 15 cans at home.**
- This is **true**. The constant term \( 15 \) indicates that Nicholas had 15 cans initially.

4. **The school collected 15 cans daily.**
- This is **false**. The school collected 235 cans daily, not 15.

Thus, the true statements are:

- The school collected 235 cans a day.
- Nicholas had 15 cans at home.