Question

An organism is losing half of its weight each day. The function y=(0.5)^x represents the percent (in decimal form) of the original weight of the organism. where x is the number of days since the organism began to lose weight A. Describe the domain and range of the function. Then graph the function.B. Find and interpret the y interceptC. What percent (in decimal form) of the original weight does the organism weigh on the 5th day?

Answer 1

the domain of this function is:

`x\in\lbrack0,\infty)`

because we count the days.

The range is

`y\in(0,1_{}\rbrack`

because the maximum value of the percentage of wait is 100% = 1

the y- intercept in this case is when the organism has not lose any weight. So the percentage of weight is 100% (1 in decimal form)

after 5 days we get

`0.5^5=0.03125`