P=(19)/(2)+(4)/(25)d The amount of paint, P, in pints, that an art sthtio 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.

Interpreting the Fraction: We are given the equation P = (19/2) + (4/25)d, where P represents the amount of paint in pints that an art studio can buy with d dollars. To interpret the fraction (4/25), we need to understand its role in the equation.Role of Fraction in Equation: The fraction (4/25) is multiplied by the variable d, which represents the number of dollars. This suggests that (4/25) is the rate at which the studio can buy paint per dollar.Confirmation with d=1: To confirm this interpretation, we can think of d as 1 dollar. If d = 1, then the studio can buy (4/25) pints of paint for 1 dollar, according to the equation P = (19/2) + (4/25)d.Rate of Paint per Dollar: Therefore, the fraction (4/25) represents the amount of paint in pints that the studio can buy with 1 dollar. This is the rate of paint per dollar.

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P=(19)/(2)+(4)/(25)d
The amount of paint, P, in pints, that an art sthtio 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.

$P=\frac{19}{2}+\frac{4}{25}d$ $\newline$ 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 $\frac{4}{25}$ as shown in the equation? $\newline$ Choose $1$ answer: $\newline$ (A) The paint costs $\frac{4}{25}$ of a dollar per pint $\newline$ (B) One dollar can buy $\frac{4}{25}$ of a pint of paint. $\newline$ (C) The art studio started with $\frac{4}{25}$ of a pint of paint. $\newline$ (D) The art studio can purchase at most $\frac{4}{25}$ of a pint of paint.

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Full solution

P=\frac{19}{2}+\frac{4}{25}d

\newline

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

\frac{4}{25}

as shown in the equation?

\newline

Choose

1

answer:

\newline

(A) The paint costs

\frac{4}{25}

of a dollar per pint

\newline

(B) One dollar can buy

\frac{4}{25}

of a pint of paint.

\newline

\frac{4}{25}

of a pint of paint.

\newline

(D) The art studio can purchase at most

\frac{4}{25}

of a pint of paint.

Interpreting the Fraction: We are given the equation $P = \frac{19}{2} + \frac{4}{25}d$ , where $P$ represents the amount of paint in pints that an art studio can buy with $d$ dollars. To interpret the fraction $\frac{4}{25}$ , we need to understand its role in the equation.
Role of Fraction in Equation: The fraction $(\frac{4}{25})$ is multiplied by the variable $d$ , which represents the number of dollars. This suggests that $(\frac{4}{25})$ is the rate at which the studio can buy paint per dollar.
Confirmation with $d=1$ : To confirm this interpretation, we can think of $d$ as $1$ dollar. If $d = 1$ , then the studio can buy $\frac{4}{25}$ pints of paint for $1$ dollar, according to the equation $P = \frac{19}{2} + \frac{4}{25}d$ .
Rate of Paint per Dollar: Therefore, the fraction $(\frac{4}{25})$ represents the amount of paint in pints that the studio can buy with $1$ dollar. This is the rate of paint per dollar.