Final answer:
If the branding index in Mike'sBikes increases from 0.1 to 0.4, the approximate increase in each product awareness index would be 0.09 or 9%.
Step-by-step explanation:
When the branding index in Mike'sBikes increases from 0.1 to 0.4, product awareness indexes for each product should be expected to increase by 30% of the change in the branding index. Since the branding index increased by 0.3 (from 0.1 to 0.4), the product awareness indexes should increase by 0.09 (which is 30% of 0.3).
In addition to direct impact, the concept of branding is rooted in marketing where visual elements and brand logos play a critical role in consumer recognition and preference, as witnessed by the historical evolution of advertising through television and print media. This harkens back to a visually saturated world where such images are integral to brand awareness and market strategy.