Question
Ralph recorded the data from his recent brisket purchases from a local barbecue restaurant in the table.
Pounds of Brisket, p Cost of Brisket, c
Which equation represents the relationship between the pounds of brisket purchased, p, and the cost of the brisket, c?
Responses
A p is equal to 28 point 6 0 c
B c is equal to 14 point 3 0 p
C
c is equal to 28 point 6 0 over p
D c is equal to 28 point 6 0 p
Pounds of Brisket, p Cost of Brisket, c
Which equation represents the relationship between the pounds of brisket purchased, p, and the cost of the brisket, c?
Responses
A p is equal to 28 point 6 0 c
B c is equal to 14 point 3 0 p
C
c is equal to 28 point 6 0 over p
D c is equal to 28 point 6 0 p
Answers
GPT-4o mini
To determine the relationship between the pounds of brisket purchased \( p \) and the cost of the brisket \( c \), we need information about how cost correlates with the pounds purchased.
If we assume that the cost is directly proportional to the pounds purchased, you would use a linear relationship. The formula for this relationship would generally look like:
\[
c = k \cdot p
\]
where \( k \) is the constant (price per pound).
Given your responses, option D suggests that:
\[
c = 28.60 \cdot p
\]
This would mean that the cost of the brisket increases linearly with the pounds bought, with 28.60 being the price per pound.
If this assumption holds, then the correct choice from the options presented would be:
**D. \( c \text{ is equal to } 28.60p \)**
If you have specific data from the table regarding the pounds and costs, we could further validate this equation.
If we assume that the cost is directly proportional to the pounds purchased, you would use a linear relationship. The formula for this relationship would generally look like:
\[
c = k \cdot p
\]
where \( k \) is the constant (price per pound).
Given your responses, option D suggests that:
\[
c = 28.60 \cdot p
\]
This would mean that the cost of the brisket increases linearly with the pounds bought, with 28.60 being the price per pound.
If this assumption holds, then the correct choice from the options presented would be:
**D. \( c \text{ is equal to } 28.60p \)**
If you have specific data from the table regarding the pounds and costs, we could further validate this equation.