Answered

The number of cans the soup kitchen has is represented by the equation:

[tex]\[ y = -63x + 825 \][/tex]

where [tex]\( x \)[/tex] represents the number of days and [tex]\( y \)[/tex] represents the number of cans.

How many cans will the soup kitchen have left after 10 days?

[tex]\[ \square \][/tex]



Answer :

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]