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Jeannie's restaurant served 58 customers on monday. after the first day the amount of customers served decreases at a rate of 2.5% each day. what is the explicit rule for this situation and approximately how many customers will be served on the 6th day? round to the nearest customer.

Respuesta :

asarwar

Jeannie’s restaurant served 58 customers on Monday. After the first day, the number of customers start to decrease at the rate of 2.5% each day. On the 6th day, Jeannie’s restaurant will serve 51 customers.

We use the explicit rule to solve this problem.

58 customers are served on Monday at Jeannie’s restaurant.

The rate of decrement each day is 2.5% i.e. 2.5/100 = 0.025

So, the explicit rule is:

[tex]y=a(1-r)^{n-1}[/tex]

where:

  • a is the initial number of customer
  • r is the rate (in this case it is 0.025), and
  • n is the number of day (in this case, it is 6)

Putting all the value in the above formula

[tex]y=58(1-0.025)^{6-1}[/tex]

[tex]y=58(0.975)^{5}[/tex]

[tex]y=58(0.8810)[/tex]

[tex]y=51[/tex] rounded to nearest number.

Therefore, at the 6th day, 51 customer will be served at the Jeannie's restaurant.

You can learn more about explicit rule at https://brainly.com/question/20691451

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