Question

A new shopping mall records 120total shoppers on their first day of business. Each day after that, the number of shoppers is 10%, percent more than the number of shoppers the day before.

solve pls I will brainly pls explain pls ​

Answer 1

$\huge\pink{Answer}$

1,139\ shoppers1,139 shoppers

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y = a(b {)}^{x}$

where

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate in decimal form

b=(1+r)

In this problem we have

x ----> the number of days

x ----> the number of daysy ----> the number of shoppers

a=120

r=10%=10/100=0.10

b=1+0.10=1.10

substitute the values

y=120(1.10)^{x}y=120(1.10) x

First day

y=120y=120

Second day

For x=1 day

substitute the value of x in the equation and solve for y

y=120(1.10)^{1}=132y=120(1.10) 1=132

Third day

For x=2 days

y=120(1.10)^{2}=145y=120(1.10) 2 =145

Fourth day

For x=3 days

y=120(1.10)^{3}=160y=120(1.10) 3=160

Fifth day

For x=4 days

y=120(1.10)^{4}=176y=120(1.10) 4 =176

Sixth day

For x=5 days

y=120(1.10)^{5}=193y=120(1.10) 5 =193

Seventh day

For x=6 days

y=120(1.10)^{6}=213y=120(1.10) 6 =213

Adds the numbers

120+132+145+160+176+193+213=1,139120+132+145+160+176+193+213=1,139

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