−5x+2y=9 y=7x solve the system of equation
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The general equation for exponential growth can be written as:
where r is the growth rate.
Plugging in the given values, we get:
Therefore
giving
![1+r= \sqrt[3]{1.1} =1.0323](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B3%5D%7B1.1%7D%20%3D1.0323)
The predicted number of bacteria after 17 hours is given by:
where r is the growth rate.
Plugging in the given values, we get:
Therefore
giving
The predicted number of bacteria after 17 hours is given by:
y - y₁ = m(x - x₁)
y - 1 = 1³/₅(x - 2) Point - Slope Form
y - 1 = 1³/₅(x) - 1³/₅(2)
y - 1 = 1³/₅x - 3¹/₅
+ 1 + 1
y = 1³/₅x - 2¹/₅ Slope - Intercept Form
-1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
-1³/₅x - y = -2¹/₅
-1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
1³/₅x - y = 2¹/₅ Standard Form
1³/₅(0) - y = 2¹/₅
0 - y = 2¹/₅
-y = 2¹/₅
-1 -1
y = -2¹/₅ Y - Intercept
(x, y) = (0, -2¹/₅)