Option 1: $10.00 every day Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day.

Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.

Option 1 Option 2 Option 3

($10.00 per day) (increases by $0.50 (doubles each)
day 1: $3.00) day, day 1: $0.01)

Is this option Arithmetic Is this option Arithmetic Is this option Arithmetic
, Geometric, or neither? ,Geometric, or neither? ,Geometric, Or neither

Also write a formula to Also write a formula to Also write a formula to
find how much you find how much you find how much you
make on any day make on any day make a day

Option 1:

Arithmetic

f(x)=10+10xd

Option 2:

Neither

f(x)=3.00+0.50d

Option 3:

Geometric

f(x)=0.01(2)^x

Step-by-step explanation:

An arithmetic equation is one that increases by the same amount every day, a constant, straight rate. Geometric increases by the same amount everyday, doubling every day is an example of this, its linear, and is a constant rate of change.

f(x)=10+10xd means the initial 10 plus 10 every day, the d= day, so if you want to calculate a certain day, such as day 10 you replace d with the day number

f(x)=10+10x10= 110

f(x)=3.00+0.50d means initial 3.00 dollars adding 0.50 each day that passes, again, replace the d with the day number you are on.

f(x)=3.00+0.50 x 10= 8

f(x)=0.01(2)^x

the 0.01 is our starting number, the (2) represents the doubling every day, the x represents the day, and is squared.

f(x)=0.01(2)^10 = 10.24

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step-by-step explanation:

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