Question

The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days and y represents the number of cans. How many cans will the soup kitchen have left after 10 days? Which statements are true based on the equation given. Select all that apply.

A Nicholas had 235 cans at home.
B The school collected 235 cans a day.
C Nicholas had 15 cans at home.
D The school collected 15 cans daily.

Answer 1

The soup kitchen will have 195 cans left after 10 days based on the equation y = -63x + 825. Statements concerning the collection rate by the school or numbers owned by Nicholas are not related to the equation or its coefficients.

Step-by-step explanation:

The student's question involves finding how many cans the soup kitchen will have left after 10 days, which can be calculated using the given linear equation, y = -63x + 825. To find the number of cans after 10 days, we substitute x with 10:

y = -63(10) + 825
y = -630 + 825
y = 195

Therefore, the soup kitchen will have 195 cans left after 10 days.

Based on the equation, we can conclude which statements are true:

• B False - The school does not collect 235 cans a day, as the slope of the equation is -63, indicating the quantity is decreasing.
• D False - The school does not collect 15 cans daily, as statement 'B' is false and the slope is -63.