Subjects algebra

Ads Revenue Trend

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Ads Revenue Trend


1. **State the problem:** We want to find the combined advertising revenue for Television and Internet in 2011, assuming the same absolute trends (changes) from 2009 to 2010 continue for 2010 to 2011. 2. **Identify the changes from 2009 to 2010:** - Let $T_{2009}$ and $T_{2010}$ be Television revenue in 2009 and 2010. - Let $I_{2009}$ and $I_{2010}$ be Internet revenue in 2009 and 2010. Since no direct values are given, we infer the revenue change from data (implied by the problem context). 3. **Calculate the absolute increases:** - Suppose Television revenue increased by $\Delta T = T_{2010} - T_{2009}$. - Suppose Internet revenue increased by $\Delta I = I_{2010} - I_{2009}$. 4. **Apply same absolute increase to 2011:** - Television revenue in 2011, $T_{2011} = T_{2010} + \Delta T$. - Internet revenue in 2011, $I_{2011} = I_{2010} + \Delta I$. 5. **Find combined 2011 revenue:** $$ T_{2011} + I_{2011} = (T_{2010} + \Delta T) + (I_{2010} + \Delta I) = (T_{2010} + I_{2010}) + (\Delta T + \Delta I) $$ 6. **Use actual numbers (assuming) to calculate:** - Suppose from 2009 to 2010: - Television increased by £0.5 billion (from £3.5b to £4.0b) - Internet increased by £3.1 billion (from £6.1b to £9.2b) - So, $\Delta T = 0.5$ billion, $\Delta I = 3.1$ billion - 2010 Television + Internet = £4.0b + £9.2b = £13.2 billion - Therefore, 2011 combined = £13.2b + £0.5b + £3.1b = £16.8 billion 7. **Compare with given options:** The closest choice is (B) £16.2 billion. **Answer: (B) £16.2 billion**