Question
Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
Answers
GPT-4o mini
To determine how many days it would take Nicholas to collect 2600 cans, we can use the given equation representing the canned-food drive:
\[ y = 235x + 15 \]
In this equation:
- \( y \) represents the total number of cans collected.
- \( x \) represents the number of days.
We want to find the value of \( x \) (the number of days) when \( y \) is 2600 cans. We can set up the equation as follows:
\[ 2600 = 235x + 15 \]
Next, we'll solve for \( x \) by following these steps:
1. Subtract 15 from both sides of the equation to isolate the term with \( x \):
\[ 2600 - 15 = 235x \]
\[ 2585 = 235x \]
2. Now, divide both sides by 235 to solve for \( x \):
\[ x = \frac{2585}{235} \]
3. Calculate the right side:
\[ x \approx 11 \]
So, it would take approximately 11 days to collect 2600 cans.
\[ y = 235x + 15 \]
In this equation:
- \( y \) represents the total number of cans collected.
- \( x \) represents the number of days.
We want to find the value of \( x \) (the number of days) when \( y \) is 2600 cans. We can set up the equation as follows:
\[ 2600 = 235x + 15 \]
Next, we'll solve for \( x \) by following these steps:
1. Subtract 15 from both sides of the equation to isolate the term with \( x \):
\[ 2600 - 15 = 235x \]
\[ 2585 = 235x \]
2. Now, divide both sides by 235 to solve for \( x \):
\[ x = \frac{2585}{235} \]
3. Calculate the right side:
\[ x \approx 11 \]
So, it would take approximately 11 days to collect 2600 cans.