Question

Grace runs a website that has gotten quite popular. However, its popularity seems to have

peaked, and the site is now getting 7% fewer hits each week. If Grace's site got 38,800 hits
this week, how many weekly hits can she expect it to get 7 weeks from.

Answer 1

23346

Explanation:

You want to know the number of hits on Grace's website 7 weeks from now if she gets 38,800 now and the number decreases 7% per week.

Growth factor

The growth factor per week is ...

growth factor = 1 + growth rate

The growth rate of hits is -7% per week, so this is ...

growth factor = 1 -7% = 0.93

Exponential function

The exponential function describing the number of hits can be written ...

hits = (initial value)(growth factor)^weeks

hits = 38,800(0.93^weeks)

Then in 7 weeks, the number of hits is expected to be ...

hits = 38,800(0.93^7) ≈ 23,346

Grace can expect to get about 23,346 hits in 7 weeks.

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