The equation E(t) = 5(1.8)t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

Question

TestUstad · Accepted Answer

The estimated number of employees when the restaurant opened. The correct answer is that the number 5 in the function E(t) = 5(1.8)t represents the estimated number of employees when the restaurant opened. In an exponential function like E(t) = a(b)t, 'a' denotes the initial value at t = 0. Thus, 5 indicates the starting number of employees. The other options are incorrect because they misinterpret the roles of the constants and variables in the exponential function. The base of the exponent, 1.8, determines the growth factor, not the initial or yearly increase in employees.

TestUstad · Answer

The increase in the estimated number of employees each year

TestUstad · Answer

The number of years the restaurant has been open

TestUstad · Answer

The percent increase in the estimated number of employees each year

The equation E(t) = 5(1.8)t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

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