Beginning & Intermediate Algebra
Which statement best defines direct variation?
Which of these accurately describes inverse variation?
According to Boyle's law, gas pressure pp varies inversely with volume VV. If p=150 kPap=150\(\text{ kPa}\) when V=3 LV=3\(\text{ L}\), determine the volume when p=25 kPap=25\(\text{ kPa}\).
Determine whether the pairs (2,12)(2, 12), (3,8)(3, 8), (4,6)(4, 6) are examples of direct variation, inverse variation, or neither.
A gardener finds that the required fertilizer mass yy, in units of kg\(\text{kg}\), will vary directly with the garden area AA, in units of m2\(\text{m}{}\)^2, and will vary inversely with the fertilizer concentration cc, in units of kgm2\(\frac{\text{kg}\)}{\(\text{m}\)^2} (for the recommended strength), such that y=kAcy=\(\frac{kA}{c}\). If the gardener uses 50 kg\(\text{kg}\) of fertilizer for a 200 m2\(\text{m}\)^2 plot with a concentration of c=2c = 2, determine how many kilograms will be needed for a 300 m2\(\text{m}\)^2 plot at concentration of c=3c = 3.