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 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.