The amount g (in trillions of cubic feet) of natural gas consumed in the United States from 1940 to 1970 can be modeled by g = 2.91(1.07)t
where t is the number of years since 1940
43. Identify the initial amount, the growth factor, and the annual percent increase.
44. Graph the function.
45. Estimate the natural gas consumption in 1955.
+23254 In the equation: 2.91(1.07)t = 2.91(1 + .07)t
2.91 is the initial amount and the yearly growth factor is 1.07, which is 7%.
To find consumption in 1955, find the number of years after 1940: 1955 - 1940 = 15.
15 is the value of t, so use a calculator to evaluate: 2.91(1.07)15
+23254 In the equation: 2.91(1.07)t = 2.91(1 + .07)t
2.91 is the initial amount and the yearly growth factor is 1.07, which is 7%.
To find consumption in 1955, find the number of years after 1940: 1955 - 1940 = 15.
15 is the value of t, so use a calculator to evaluate: 2.91(1.07)15
