Answer:
0.45m - 24 (option A)
Explanation:
Given:
[tex]\begin{gathered} The\text{ polynomial a rental company uses to calculate rental charges:} \\ 84\text{ + 0.45\lparen m -240\rparen} \end{gathered}[/tex]
To find:
The simplified expression after a distributive property is applied
[tex]\begin{gathered} 84\text{ + 0.45\lparen m - 240\rparen} \\ Expanding\text{ using distributive property:} \\ 84\text{ + 0.45\lparen m\rparen + 0.45\lparen-240\rparen} \\ \end{gathered}[/tex][tex]\begin{gathered} =\text{ 84 + 0.45m - 108} \\ collect\text{ like terms:} \\ =\text{ 84 - 108 + 0.45m} \\ =\text{ -24 + 0.45m} \\ =\text{ 0.45m - 24 \lparen option A\rparen} \end{gathered}[/tex]
