2018 WAEC Mathematics Theory If log$_a$(y + 2) = 1 + log$_a$ x, find x in terms of y....

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?

(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

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