Question

Suppose the expression a(b)n models the approximate number of customers who entered a bakery everyday since it opened. In this expression, a is the initial number of customers, b is the rate of increase in customers everyday , and n is the number of days since the backers opened. The expression shown models the approximate number of customers that have entered the bakery every day since it opened.

14(1.2)^10

What does the first factor represent for someone trying to analyze the customers patterns of the bakery?

Answer 1

Planets such as Mercury are so much smaller than the Sun that it would be difficult to draw them to the same scale. On the same piece of paper or computer screen, Mercury would appear as a mere dot if the Sun were included in the model.

Answer 2

The number of customers increases with the rate of 20% everyday with initial customers being 14 during the range of 10 days.

Explanation:

We are given that,

The expression modelling the number of customers entering the bakery everyday is given by
`ab^(n)`

where a = initial number of customers, b = rate of increase and n = number of days.

Now, we have the particular model given by,

`14(1.2)^(10)` i.e.
`14(1+0.2)^(10)`

On comparing, we get that,

The initial number of customers = 14, rate of increase = 0.2 = 20% and the number of days = 10.

Thus, it shows that the number of customers increases with the rate of 20% everyday with initial customers being 14 during the range of 10 days.