50. Model with mathematics. A water company charges residential customers a quarterly flat fee of
$25 for up to 5000 gallons of water. The company
charges $10 per thousand for the first 10,000
gallons of water after the minimum allowance. The
next 10,000 gallons is $5 per thousand. All other
consumption over 25,000 is $2.50 per
thousand.
a. Write a piecewise function w(x) that can be
used to determine a customer's quarterly bill for
using x gallons of water.

In a graph with several intervals o data how does a constant interval appear? what type of scenario produces a constant interval?

Simplify (1/2)4th power a. (1/16) b.(1/8) c.(1/4)

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.