To find out how many days it would take to collect 2600 cans, we can use the equation \( y = 235x + 15 \). Here, \( y \) is the total number of cans collected and \( x \) is the number of days.
We want to find \( x \) when \( y = 2600 \). So we can set up the equation like this:
\[ 2600 = 235x + 15 \]
Now, we'll solve for \( x \):
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Subtract 15 from both sides: \[ 2600 - 15 = 235x \] \[ 2585 = 235x \]
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Now, divide both sides by 235 to find \( x \): \[ x = \frac{2585}{235} \] \[ x \approx 11 \]
So, it would take about 11 days to collect 2600 cans.