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.
Weekly Growth Factor 70C0B2
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.