91Ó°ÊÓ

Experimental study plots are often squares of length \(1 \mathrm{~m}\). If \(1 \mathrm{ft}\) corresponds to \(0.305 \mathrm{~m}\), compute the area of a square plot of length \(1 \mathrm{~m}\) in \(\mathrm{ft}^{2}\).

Use a graphing calculator to sketch the graphs of the functions. $$ y=x^{3 / 2}, x \geq 0 $$

In Problems \(47-54\), use a logarithmic transformation to find a linear relationship between the given quantities and graph the resulting linear relationship on a log-linear plot. $$ y=3 \times 10^{-2 x} $$

Large areas are often measured in hectares (ha) or in acres. If \(1 \mathrm{ha}=10,000 \mathrm{~m}^{2}\) and 1 acre \(=4046.86 \mathrm{~m}^{2}\), how many acres is 1 hectare?

Use a graphing calculator to sketch the graphs of the functions. $$ y=x^{1 / 3}, x \geq 0 $$

use a logarithmic transformation to find a linear relationship between the given quantities and graph the resulting linear relationship on a log-linear plot. $$ y=4 \times 10^{5 x} $$

Use a graphing calculator to sketch the graphs of the functions. $$ y=x^{-1 / 4}, x>0 $$

use a logarithmic transformation to find a linear relationship between the given quantities and graph the resulting linear relationship on a log-linear plot. $$ y=2 e^{-1.2 x} $$

To convert the volume of a liquid measured in ounces to a volume measured in liters, we use the fact that 1 liter equals \(33.81\) ounces. Denote by \(x\) the volume measured in ounces and by \(y\) the volume measured in liters. Assume a linear relationship between these two units of measurements. (a) Find the equation relating \(x\) and \(y\). (b) A typical soda can contains 12 ounces of liquid. How many liters is this?

Use a graphing calculator to sketch the graphs of the functions. $$ y=2 x^{-7 / 8}, x>0 $$