Question

Hello! I think when I finally understand this one I will have this mastered.

Answer 1

Answer:

0.45m - 24 (option A)

Step-by-step explanation:

Given:

`\begin{gathered} The\text{ polynomial a rental company uses to calculate rental charges:} \\ 84\text{ + 0.45\lparen m -240\rparen} \end{gathered}`

To find:

The simplified expression after a distributive property is applied

`\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}`
`\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}`