A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y is equal to 30 times 0 point 9 2 to the d th power , where y is the number of phone calls after d days. How many phone calls should she expect after a week?
A week is 7 days, so substitute d = 7 into the equation: y = 30 × 0.92⁷ ≈ 16.7. Rounding to the nearest whole phone call gives 17, so she should expect about 17 calls after a week.
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