What is the next term of the geometric sequence? 5,20,80
2 answers:
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When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,
Step-by-step explanation:
Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.
Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;
x = 17y, this represents the relation between x and y.
To find the gallons in the tank, y = ,
For x = 170, y = = 10,
Similarly equating the values we get that when x = 187, y = 11,
when x = 204, y = 12,
when x = 221, y = 13,
when x = 238, y = 14,
when x = 255, y = 15,
when x = 272, y = 16,
when x = 289, y = 17,
when x = 306, y = 18,
when x = 323, y = 19,
when x = 340, y = 20,
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Option B: 4 is the multiplicative rate of change of the function
Explanation:
The exponential growth function is
We need to determine the multiplicative rate of change of the function.
First, let us determine the values of function.
x y
1 8
2 32
3 128
4 512
Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.
Thus, the multiplicative rate of change of the function is given by
Multiplicative rate of change of the function =
Multiplicative rate of change of the function =
Multiplicative rate of change of the function =
Thus, the multiplicative rate of change of the function is 4
Therefore, Option B is the correct answer.