Q24. - Algebra 1

Question

DVD SALES A video store chain has three locations. Use the information in the table below to write and evaluate an expression to estimate the total number of DVDs sold over a 4 -day period. (Lesson 1–4)

Step-by-Step Solution

Answer

The expression for the total DVDs sold over 4-day period is $4\left(145+211+184\right)$ and Total DVDs sold over 4-day period are 2160.

Step 1. Given information.

The table given in the question is as follows:

Location	Daily Sales Numbers
Location 1	145
Location 2	211
Location 3	184

 

Step 2. The expression for the total number of DVDs sold over a 4 -day period.

From the table given, we can find the total DVDs sold over a 4-day period

Firstly,

The total DVDs sold over 1-day period $=145+211+184$

The total DVDs sold over 2-day period $=2\left(145+211+184\right)$

The total DVDs sold over 3-day period $=3\left(145+211+184\right)$

The total DVDs sold over 4-day period $=4\left(145+211+184\right)$

Therefore, 

The expression for the total DVDs sold over 4-day period is $=4\left(145+211+184\right)$

Step 3. Evaluate the expression for the total number of DVDs sold over a 4 -day period.

From Step 2, we have

The expression for the total DVDs sold over 4-day period is $=4\left(145+211+184\right)$

i.e.

$$\begin{gathered} =4\left(145+211+184\right)=4\left(145\right)+4\left(211\right)+4\left(184\right) \\ =580+844+736 \\ =2160 \end{gathered}$$

Therefore,

The total DVDs sold over 4-day period are 2160.