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?

Question

06-01-2019
Mathematics

contestada

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?

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wagonbelleville wagonbelleville · Answer 1 · 2019-01-16T07:43:17+01:00

Answer:

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

Step-by-step explanation:

We are given that,

The expression modelling the number of customers entering the bakery everyday is given by [tex]ab^{n}[/tex]

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

Now, we have the particular model given by,

[tex]14(1.2)^{10}[/tex] i.e. [tex]14(1+0.2)^{10}[/tex]

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.

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