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Linear relationship word problems: medium
(4) Google Classroom

0.30 P+0.25 G=57
A homeowner uses
G hours of natural gas heat and
P hours of heat from a pellet stove to heat her house one month, with a total of 57 therms of output. How many therms per hour does the pellet stove output?
Show calculator
How do I enter a student-produced response on the SAT? [Show me!]

Linear relationship word problems: medium $\newline$ ( $4$ ) Google Classroom $\newline$ $0.30 P+0.25 G=57$ $\newline$ A homeowner uses $\newline$ $G$ hours of natural gas heat and $\newline$ $P$ hours of heat from a pellet stove to heat her house one month, with a total of $57$ therms of output. How many therms per hour does the pellet stove output? $\newline$ Show calculator $\newline$ How do I enter a student-produced response on the SAT? [Show me!]

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Mean, variance, and standard deviation of binomial distributions

Full solution

Q. Linear relationship word problems: medium

\newline

(

4

) Google Classroom

\newline

0.30 P+0.25 G=57

\newline

A homeowner uses

\newline

G

hours of natural gas heat and

\newline

P

hours of heat from a pellet stove to heat her house one month, with a total of

57

therms of output. How many therms per hour does the pellet stove output?

\newline

Show calculator

\newline

How do I enter a student-produced response on the SAT? [Show me!]

Given Equation: We are given the equation $0.30P + 0.25G = 57$ , where $P$ is the number of hours the pellet stove is used and $G$ is the number of hours the natural gas heat is used. We want to find the therm output per hour of the pellet stove, which is represented by the coefficient of $P$ in the equation.
Isolate $P$ : To find the therm output per hour of the pellet stove, we need to isolate $P$ in the equation. However, since we are not given the value of $G$ or the total hours used, we cannot solve for $P$ directly. Instead, we can interpret the coefficient of $P$ ( $0.30$ ) as the therm output per hour for the pellet stove since it represents the therms produced by one hour of using the pellet stove.
Find Therm Output: Therefore, the therm output per hour of the pellet stove is $0.30$ therms/hour.

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