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0.2 B+0.1 S=C
Rhia is using the given equation to investigate the carbon footprint,
C, in kilograms of carbon dioxide (
CO_(2) ) emissions, for her morning commute, during which
S miles are by subway and
B miles are by bus. How many kilograms of
CO_(2) per mile does the bus portion contribute to Rhia's carbon footprint?

$0.2 B+0.1 S=C$ $\newline$ Rhia is using the given equation to investigate the carbon footprint, $C$ , in kilograms of carbon dioxide ( $\mathrm{CO}_{2}$ ) emissions, for her morning commute, during which $S$ miles are by subway and $B$ miles are by bus. How many kilograms of $\mathrm{CO}_{2}$ per mile does the bus portion contribute to Rhia's carbon footprint?

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Write linear functions: word problems

Full solution

Q.

0.2 B+0.1 S=C

\newline

Rhia is using the given equation to investigate the carbon footprint,

C

, in kilograms of carbon dioxide (

\mathrm{CO}_{2}

) emissions, for her morning commute, during which

S

miles are by subway and

B

miles are by bus. How many kilograms of

\mathrm{CO}_{2}

per mile does the bus portion contribute to Rhia's carbon footprint?

Identify Equation and Goal: Identify the given equation and what we need to find. $\newline$ The given equation is $0.2 B + 0.1 S = C$ , where $C$ is the carbon footprint in kilograms of $\mathrm{CO}_{2}$ emissions, $S$ is the miles traveled by subway, and $B$ is the miles traveled by bus. We need to find the contribution of the bus portion to the carbon footprint per mile, which is represented by the coefficient of $B$ in the equation.
Isolate Bus Portion: Isolate the bus portion of the equation. $\newline$ Since we are only interested in the bus portion, we can ignore the subway part for now. The bus portion is represented by $0.2 B$ . This means that for every mile Rhia travels by bus, $0.2$ kilograms of CO₂ are emitted.
Interpret Coefficient for Bus: Interpret the coefficient of $B$ as the carbon footprint per mile for the bus. $\newline$ The coefficient of $B$ ( $0.2$ ) directly gives us the carbon footprint per mile for the bus. Therefore, Rhia's bus commute contributes $0.2$ kilograms of CO₂ per mile to her carbon footprint.

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