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.

Question

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.

Drag and drop the answers into the boxes to match the situation.

Explicit rule

Number of customers on the 6th day.

A n = 58 x (0.975) n – 1, A n = 58 x (0.025) n – 1, A n = 58 (1.025) n – 1, 51, 49, 48, 46,

0

Answers ( No )

    0
    2021-09-08T23:28:35+00:00

    The rule is to find the percentage then divide

    0
    2021-09-08T23:29:04+00:00

    Answer:

    51 customers

    Step-by-step explanation:

    Jeannie’s restaurant served 58 customers on Monday.

    Rate of decrement  r =2.5 % = 0.025

    Formula : y=a(1-r)^{n-1}

    A is the initial amount

    r is the rate

    n is the no. of days

    So, Substitute the values

    y=58(1-0.025)^{n-1}

    y=58(0.975)^{n-1}

    So, explicit rule : A_n=58(0.975)^{n-1]

    Now to find the no. of customers will be served on the 6th day

    Substitute n = 6

    A_6=58(0.975)^{6-1}

    A_6=51.1035

    So, 51 customers will be served on the 6th day

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