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,

Answer 1

The rule is to find the percentage then divide

Answer 2

51 customers

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