MartyMurray wrote:
Throughout a certain decade in a European city, the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497. But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262. To visually assess how the ratio of mean monthly rents for studio apartments to those for one-bedroom apartments varied yearly over the decade, Maria requires a graph with the following characteristics. The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes. For each year, mean rents will be plotted as a point.
From the following options, select for Horizontal axis a range for the points on the horizontal axis and select for Vertical axis a range for the points on the vertical axis that together would satisfy Maria's requirements for the graph. Make only two selections, one in each column.
The graph must have the following characteristics:
- two axes of equal length
- mean rents for one-bedroom apartments shown on the horizontal axis
- mean rents for studio apartments shown on the vertical axis
- the same scale on both axes
- For each year, mean rents will be plotted as a point.
The passage provides several values. However, the graph will show only mean rents. So, the only values that matter are the following:
Studio apartments:
a low of €804 to a high of €1,173
One-bedroom apartments:
a low of €1,060 to a high of €1,497
So, the axis for studio apartments must go at least from around 800 to around 1,200, and the axis for one-bedroom aparments must go at least from around 1,000 to around 1500.
€0 to €1,500
€400 to €1,100
€800 to €1,200
€1,000 to €2,300
€1,100 to €1,500
One of the characteristics of the graph is that it has two axes of equal length. Scanning the choices, we see that only two are of the same length: €800 to €1,200 and €1,100 to €1,500.
€800 to €1,200 would work for studio apartments since it allows for a low of €804 and a high of €1,173.
However, €1,100 to €1,500 does not work for one-bedroom apartments since it does not allow for the low of €1,060.
So, it must be the case that one of the choices works for both axes since only by using one choice for both can we get axes of equal length and include all the values.
(Also, by the way, if one choice works for both, that choice must be the correct answer since the question cannot be answerable in two ways.)
To have the points for all the values of mean rents, the axes must go at least from a low of around 800 to a high of around 1,500. The only choice that includes both of those values is €0 to €1,500.
So, the correct answer for both Horizontal axis and Vertical axis is €0 to €1,500.
Answer: €0 to €1,500, €0 to €1,500
Thank you for the reply but there is also 1 statement in the question "and some one-bedroom apartments rented for up to €2,262.". How will this be accomodated in the given solution?