Answer:
We conclude that the equation y=2x+3 has a y-intercept of 3.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the equation
y = 3x+2
comparing with the slope-intercept form y = mx+b
The slope-intercept of y = 3x+2 is: 2
Given the equation
x=3
Does not have a y-intercept.
Given the equation
y=x
comparing with the slope-intercept form y = mx+b
The slope-intercept of y=x is: 0
Given the equation
y=2x+3
comparing with the slope-intercept form y = mx+b
The slope-intercept of y=2x+3 is: 3
Thus, we conclude that the equation y=2x+3 has a y-intercept of 3.
Given that the population quadruples every 39 minutes, you can determine that this bacteria population has Exponential Growth.
By definition, an Exponential Equation as this form:
Where "a" is the initial amount, "b" is the base, and "t" is the time period.
In this case, you know that:
Therefore, since you need to express the time "t" in minutes:
Now you can write the following equation to model the situation: