There are 7 days in a week
Assuming we are starting with A calories eating
The rate at which we are increasing is 5% per day = .05 in decimal form
This is an exponential increas
y = a b^x where A is the initial amount and b is the growth x is the number of days
We can determine b by b = 1+r where r is the rate
y = A ( 1+.05) ^ 7 since there are 7 days in a week
y = A( 1.05)^7
y = A 1.407100423
1.407100423 is the growth rate for the week
subtract 1
.407100423 is the decimal form of the growth rate
40.7100423 is the growth rate in percent form
40.7% growth rate over the week
