To find the unit rate of a given amount, you have to divide the price by the fluid oz or amount. In this case it is 1.19 / 12. The quotient is 0.0991666667 or (rounded) $0.10.
The sequence can be represented by
, where
is a whole number(
and
is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to
and confirm that there is a whole number x which equals the values selected.
![2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark](https://tex.z-dn.net/?f=%202%20%2B%204x%20%3D%2090%20%5CRightarrow%204x%20%3D%2088%20%5CRightarrow%20x%20%3D%2022%20%5C%2C%20%5Ccheckmark%20)
![2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark](https://tex.z-dn.net/?f=%202%20%2B%204x%20%3D%20150%20%5CRightarrow%204x%20%3D%20148%20%5CRightarrow%20x%20%3D%2037%20%5C%2C%20%5Ccheckmark%20)
![2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5](https://tex.z-dn.net/?f=%202%20%2B%204x%20%3D%20160%20%5CRightarrow%204x%20%3D%20158%20%5CRightarrow%20x%20%3D%2039.5%20)
When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.
![2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark](https://tex.z-dn.net/?f=%202%20%2B%204x%20%3D%20170%20%5CRightarrow%204x%20%3D%20168%20%5CRightarrow%20x%20%3D%2042%20%5C%2C%20%5Ccheckmark%20)
![2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark](https://tex.z-dn.net/?f=%202%20%2B%204x%20%3D%20210%20%5CRightarrow%204x%20%3D%20208%20%5CRightarrow%20x%20%3D%2052%20%5C%2C%20%5Ccheckmark%20)
Answer:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14
3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14
3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.