Applying Linear Functions Answers

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The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.

Answer:

The slope of -63 represents the rate of change, meaning the soup kitchen uses 63 canned goods each day. The y-intercept of 825 represents the initial amount, meaning there were 825 canned goods at the soup kitchen on day 0.

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Sample Answer: The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen. Select all the information that you included in your response.The slope indicates the number of cans used daily.The soup kitchen uses 63 cans a day.The y-intercept represents the number of cans the soup kitchen started with.The soup kitchen started with 825 cans.

A
The slope indicates the number of cans used daily.
B
The soup kitchen uses 63 cans a day.
C
The y-intercept represents the number of cans the soup kitchen started with.
D
The soup kitchen started with 825 cans.
4

Find the linear equation that represents the scenario.

A
y = 235x + 15
B
y = 4x + 955
C
y = 15x + 235
D
y = 3x + 705
5

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.

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