Subjects exponential functions

Weekly Growth Factor 70C0B2

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1. The problem states that the number of views grows according to the exponential model $$V_{day}(t) = 580 \times (1.17)^t$$ where $t$ is in days. 2. We want to find the growth factor for every week. Since 1 week = 7 days, we need to find the factor by which the views grow over 7 days. 3. The growth factor over 7 days is given by raising the daily growth factor to the power of 7: $$\text{weekly growth factor} = (1.17)^7$$ 4. Calculate this value: $$ (1.17)^7 = 1.17 \times 1.17 \times 1.17 \times 1.17 \times 1.17 \times 1.17 \times 1.17 $$ 5. Using a calculator, we find: $$ (1.17)^7 \approx 3.252 $$ 6. Therefore, every week, the number of views grows by a factor of approximately 3.252. This means the views more than triple each week.