To determine how many cans the soup kitchen will have left after 10 days, we can use the given linear equation:
[tex]\[ y = -63x + 825 \][/tex]
where:
- [tex]\( y \)[/tex] represents the number of cans remaining,
- [tex]\( x \)[/tex] represents the number of days.
We are given that [tex]\( x = 10 \)[/tex] (since we want to find out the number of cans left after 10 days). Our task is to substitute [tex]\( x = 10 \)[/tex] into the equation and solve for [tex]\( y \)[/tex].
Step-by-Step Solution:
1. Substitute [tex]\( x = 10 \)[/tex] into the equation:
[tex]\[ y = -63(10) + 825 \][/tex]
2. Perform the multiplication:
[tex]\[ y = -630 + 825 \][/tex]
3. Finally, perform the addition:
[tex]\[ y = 195 \][/tex]
Therefore, the number of cans the soup kitchen will have left after 10 days is [tex]\( 195 \)[/tex].
So the final answer is:
[tex]\[ \boxed{195} \][/tex]
