A rectangle with constant area has possible lengths and widths as shown in the table below. Width vs. Length of a Rectangle Width (w) Length (l) 2 37. 5 4 18. 75 6 12. 5 8 2009. 375 Which equation can be used to find any corresponding length and width that fit the pattern in this table? l = StartFraction k Over w EndFraction, where l is the length, w is the width, and k is a constant (w not-equals 0) l = m w b, where l is the length, w is the width, and m and b are constants l = k w Superscript one-half, where l is the length, w is the width, and k is a constant l = a w squared, where l is the length, w is the width, and a is a constant.

Part a:

given  where  represents the initial value of the fuel at 0 months. the value  represents the multiplier and the variable  represents the number of months.

the multiplier indicates whether an exponential function growing or decaying. multiplier > 1 indicates growth whereas multiplier < 1 indicates decay.

multiplier 1.04 in this context represents a 0.04 increase which as percentage is 4%

hence,  is an increasing function with 4% compound increase monthtly

part b

as  increases in ones,  increase by the ratio of  (rounded to 2 dp).

the value 1.06 represents increase by 0.06 which as percentage is 6%

hence, the fuel b has a greater percentage monthly increase