To determine the number of cans the soup kitchen will have left after 10 days, we start with the equation given:
[tex]\[ y = -63x + 825 \][/tex]
In this equation:
- [tex]\( y \)[/tex] represents the number of cans remaining.
- [tex]\( x \)[/tex] represents the number of days.
We are asked to find the value of [tex]\( y \)[/tex] when [tex]\( x = 10 \)[/tex]:
1. Substitute [tex]\( x = 10 \)[/tex] into the equation:
[tex]\[ y = -63(10) + 825 \][/tex]
2. Perform the multiplication inside the parentheses:
[tex]\[ y = -630 + 825 \][/tex]
3. Next, carry out the addition:
[tex]\[ y = 195 \][/tex]
So, the soup kitchen will have [tex]\( 195 \)[/tex] cans left after 10 days.
