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P=(19)/(2)+(4)/(25)d
The amount of paint, 
P, in pints, that an art studio can buy with 
d dollars is given by the equation. What is the best interpretation of 
(4)/(25) as shown in the equation?
Choose 1 answer:
A The paint costs 
(4)/(25) of a dollar per pint.
(B) One dollar can buy 
(4)/(25) of a pint of paint.
(C) The art studio started with 
(4)/(25) of a pint of paint.
(D) The art studio can purchase at most 
(4)/(25) of a pint of paint.

P=192+425d P=\frac{19}{2}+\frac{4}{25} d \newlineThe amount of paint, P P , in pints, that an art studio can buy with d d dollars is given by the equation. What is the best interpretation of 425 \frac{4}{25} as shown in the equation?\newlineChoose 11 answer:\newline(A) The paint costs 425 \frac{4}{25} of a dollar per pint.\newline(B) One dollar can buy 425 \frac{4}{25} of a pint of paint.\newline(C) The art studio started with 425 \frac{4}{25} of a pint of paint.\newline(D) The art studio can purchase at most 425 \frac{4}{25} of a pint of paint.

Full solution

Q. P=192+425d P=\frac{19}{2}+\frac{4}{25} d \newlineThe amount of paint, P P , in pints, that an art studio can buy with d d dollars is given by the equation. What is the best interpretation of 425 \frac{4}{25} as shown in the equation?\newlineChoose 11 answer:\newline(A) The paint costs 425 \frac{4}{25} of a dollar per pint.\newline(B) One dollar can buy 425 \frac{4}{25} of a pint of paint.\newline(C) The art studio started with 425 \frac{4}{25} of a pint of paint.\newline(D) The art studio can purchase at most 425 \frac{4}{25} of a pint of paint.
  1. Analyze Equation Relationship: Analyze the equation P=192+425dP=\frac{19}{2}+\frac{4}{25}d to understand the relationship between PP and dd. The equation shows that PP, the amount of paint in pints, depends on the amount of money dd in dollars. The term 425d\frac{4}{25}d suggests that for every dollar dd, a certain fraction of a pint of paint can be bought.
  2. Interpret Coefficient Context: Interpret the coefficient (4)/(25)(4)/(25) in the context of the equation.\newlineThe coefficient (4)/(25)(4)/(25) is multiplied by the number of dollars dd to determine how many pints of paint can be bought. This means that for each dollar spent, (4)/(25)(4)/(25) pints of paint can be purchased.
  3. Match Interpretation to Choices: Match the interpretation to the given choices.\newlineThe correct interpretation of (4)/(25)(4)/(25) is that it represents the amount of paint in pints that can be bought with one dollar. This matches choice (B) One dollar can buy (4)/(25)(4)/(25) of a pint of paint.

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