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Maple Place Garage is posting five job listings with the online service from Example 4 in the Skills and Strategies section.

\begin{tabular}{|l|l|}
\hline \begin{tabular}{c}
Number of Job \\
Postings
\end{tabular} & \begin{tabular}{c}
Price per Job \\
Posting
\end{tabular} \\
\hline 1 & [tex]$\$[/tex] 395.00[tex]$ each \\
\hline 2 & $[/tex]\[tex]$ 385.00$[/tex] each \\
\hline 3 & [tex]$\$[/tex] 375.00[tex]$ each \\
\hline 4 & $[/tex]\[tex]$ 350.00$[/tex] each \\
\hline [tex]$5-20$[/tex] & [tex]$\$[/tex] 320.00[tex]$ each \\
\hline $[/tex]21-50[tex]$ & $[/tex]\[tex]$ 265.00$[/tex] each \\
\hline [tex]$51-100$[/tex] & [tex]$\$[/tex] 200.00[tex]$ each \\
\hline $[/tex]101-150[tex]$ & $[/tex]\[tex]$ 165.00$[/tex] each \\
\hline [tex]$151-250$[/tex] & [tex]$\$[/tex] 135.00[tex]$ each \\
\hline
\end{tabular}

a. How much is each posting?
\[ \$[/tex] 320.00 \]

b. How much less does Maple Place pay per posting compared to the price for one posting?
[tex]\[ \$ 75.00 \][/tex]

c. What is the cost of the five postings?
[tex]\[ \$ 1,600.00 \][/tex]

d. What is the total savings for the five postings?
[tex]\[ \$ 375.00 \][/tex]

e. Express the total savings as a percent of the total cost for the five postings. Round to the nearest percent.
[tex]\[ \boxed{} \][/tex]

Sagot :

GinnyAnsweridn
Let's walk through each part of the question step-by-step with clear explanations.

### a. How much is each posting?

When purchasing five job postings, each posting costs [tex]$320.00. ### b. How much less does Maple Place pay per posting compared to the price for one posting? The price for a single job posting is $[/tex]395.00.
The price when purchasing five postings is [tex]$320.00 per posting. To find how much less Maple Place pays per posting, we subtract the price per posting for five postings from the price of a single posting: \[ 395.00 - 320.00 = 75.00 \] Maple Place pays $[/tex]75.00 less per posting compared to the price for one posting.

### c. What is the cost of the five postings?

To find the total cost for five postings:
[tex]\[ \text{Price per posting} \times \text{Number of postings} = 320.00 \times 5 \][/tex]
[tex]\[ 320.00 \times 5 = 1,600.00 \][/tex]

The cost of the five postings is [tex]$1,600.00. ### d. What is the total savings for the five postings? We've already calculated that Maple Place pays $[/tex]75.00 less per posting.
To find the total savings for five postings:
[tex]\[ \text{Savings per posting} \times \text{Number of postings} = 75.00 \times 5 \][/tex]
[tex]\[ 75.00 \times 5 = 375.00 \][/tex]

The total savings for the five postings is [tex]$375.00. ### e. Express the total savings as a percent of the total cost for the five postings. Round to the nearest percent. First, we need to find the total cost of the five postings, which we previously found to be $[/tex]1,600.00.
Next, we calculate the percent savings:
[tex]\[ \text{Percent savings} = \left( \frac{\text{Total savings}}{\text{Total cost}} \right) \times 100 \][/tex]
[tex]\[ \left( \frac{375.00}{1,600.00} \right) \times 100 = 23.4375 \][/tex]

When rounded to the nearest percent, the percent savings is:
[tex]\[ 23\% \][/tex]

In summary:
- Each posting costs [tex]$320.00. - Maple Place pays $[/tex]75.00 less per posting compared to the price for one posting.
- The cost of the five postings is [tex]$1,600.00. - The total savings for the five postings is $[/tex]375.00.
- The total savings as a percent of the total cost for the five postings is 23%.
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