Given the Initial Rate Data for the Decomposition Reaction, a

Given the initial rate data for the decomposition reaction, A ? B + C
Determine the rate expression for the reaction.
$$\begin{array} { l l } { [ \mathrm { A } ] , \mathrm { M } } & - \Delta [ \mathrm { A } ] / \Delta t \mathrm { M } / \mathrm { s } \\\hline0.084 & 12.4 \times 10 ^ { - 6 } \\0.063 & 9.3 \times 10 ^ { - 6 } \\0.042 & 6.2 \times 10 ^ { - 6 }\end{array}$$

A) $\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.5 \times 10 ^ { - 4 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ]$
B) $\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.5 \times 10 ^ { - 4 } \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 }$
C) $\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.8 \times 10 ^ { - 9 } \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 }$
D) $\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.2 \times 10 ^ { - 5 } \mathrm { Ms } ^ { - 1 }$
E) $\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 6.8 \times 10 ^ { 3 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ]$