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The views of a made-up video, in thousands, are recorded each day…

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Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

The views of a made-up video, in thousands, are recorded each day. A line fits the logarithms well: $\log_{10} y = 0.7 + 0.25t$ , where $t$ is the day. Predict the views on day $4$ . Find the factor by which the views grow each day and the doubling time in days. Give answers to three decimal places.

Need a reminder? The key ideaShow

Growth by an equal factor each step is a straight line on a log scale: $\log_{10} y = a + bx$ , with a factor of $10^{b}$ per unit of $x$ and a doubling time of $\dfrac{\log_{10} 2}{b}$ . A square root straightens a quantity that grows like a square.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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