Answered

Use these rental pricing data to answer the questions below:

\begin{tabular}{|l|l|l|}
\hline
City & 2009 Rent & 2015 Rent \\
\hline
Boise & [tex]$\$[/tex] 583[tex]$ & $[/tex]\[tex]$ 745$[/tex] \\
\hline
Boston & [tex]$\$[/tex] 1,577[tex]$ & $[/tex]\[tex]$ 2,150$[/tex] \\
\hline
Seattle & [tex]$\$[/tex] 958[tex]$ & $[/tex]\[tex]$ 1,600$[/tex] \\
\hline
\end{tabular}

1. What is the rate of change of rent with respect to time for Seattle? Round to the nearest penny.

Answer: [tex]$\$[/tex] 27.00$

2. What are the proper units for this rate of change?
A. dollars
B. dollars per year
C. years
D. years per dollar



Answer :

GinnyAnswer
To determine the rate of change of rent with respect to time for Seattle, we need to follow these steps:

1. Identify Initial and Final Rents:
- Initial rent in 2009 = \[tex]$958 - Final rent in 2015 = \$[/tex]1600

2. Determine the Time Period:
- The time period from 2009 to 2015 is 2015 - 2009 = 6 years.

3. Compute the Change in Rent:
- Change in rent = Final rent - Initial rent
- Change in rent = \[tex]$1600 - \$[/tex]958 = \[tex]$642 4. Calculate the Rate of Change: - The rate of change of rent with respect to time is given by the change in rent divided by the number of years. - Rate of change = Change in rent / Number of years - Rate of change = \$[/tex]642 / 6 years = \[tex]$107.00 per year 5. Round to the Nearest Penny: - The calculation above already gives the rate rounded to the nearest penny, which is \$[/tex]107.00.

6. Specify the Units:
- The proper units for the rate of change of rent with respect to time are "dollars per year."

So, the rate of change of rent with respect to time for Seattle is \$107.00 per year.