If log(_a)(y + 2) = 1 + log(_a) x, find x in terms of y.
2. The table shows the distribution of timber production in five communities in a certain year
|
Community |
Timber Production (tonnes) |
|
Bibiani Amenfi Oda Wiawso Sankore |
600 900 1800 1500 2400 |
1. Draw a pie chart to represent the information.
2. What percentage of timber produced that year was from Amenfi?
3. If a tonne of timber is sold at $560.00, how much more revenue would Oda community receive than Bibiani?
Explanation
(a) Applying the laws of logarithm, log(y + 2) = log ax which amplies that y + 2 = ax and finding x to get
x = (frac{y + 2}{a})
(b)(i) The pie is shown
(b)(i) The percentage of timber produced that year that was from Amenfi = (frac{900}{7200}) x 100% = 12.5%
(ii) Difference in revenue = $560.00(1800 – 600) = $672,000.00