Question

The table below shows the number of shoppers at Jacob's store over a period of five months:

Month 1 2 3 4 5
Shoppers 50 250 1,250 6,250 31,250
Did the number of people at Jacob's store increase linearly or exponentially? A.Linearly, because the table shows an equal increase in number of shoppers for an equal increase in months
B. Exponentially, because the table shows an equal increase in number of shoppers for an equal increase in months
C.Linearly, because the table shows the number of shoppers increases by an equal factor for an equal increase in months
D.Exponentially, because the table shows the number of shoppers increases by an equal factor for an equal increase in months

Answer 1

The table below shows the number of shoppers at Jacob's store over a period of five months:

Month 1 2 3 4 5

Shoppers 50 250 1,250 6,250 31,250

Did the number of people at Jacob's store increase linearly or exponentially?

Answer:

D.Exponentially, because the table shows the number of shoppers increases by an equal factor for an equal increase in months

Answer 2

We are given table

Month : 1 2 3 4 5

Shoppers: 50 250 1250 6250 3250

so, we have

first term =50

`a_1=50`

Second term =250

`a_2=250`

Third term =1250

`a_3=1250`

`a_4=6250`

`a_5=31250`

now, we can find ratios

`(a_2)/(a_1) =(a_3)/(a_2)=(a_4)/(a_3)=(a_5)/(a_4)=5`

we can see that all ratios are same and 5

so, this is exponential

so, option-D..........Answer