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olga55 [171]
3 years ago
14

The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earns $168 for an 8 hour period. Worker

B earns the same hourly rate as Worker A, but works for only 6 hours. What does Worker B earn?
A) $1008
B) $126
C) $1344
D) $160

Stuck on this one. Please explain?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{money varies directly with hourly rate of pay}\qquad \stackrel{money}{m}=k\stackrel{hour~pay}{h}
\\\\\\
\textit{we also know that }
\begin{cases}
m=168\\
h=8
\end{cases}\implies 168=k8\implies \cfrac{168}{8}=k
\\\\\\
21=k\qquad therefore\qquad \boxed{m=21h}
\\\\\\
\textit{now, when h = 6, what is \underline{m}?}\qquad m=21(6)
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