So that's the point at which they're going to occupy the same area. Well, you can see very clearly that it looks like they To the nearest integer and you could pause this video and try to think about that, if you like. Occupy the same area? It says round your answer They're both growing exponentially,īut at different rates. The growth of populationī can be modeled by g of t is equal to this, where t is the number of hours We've seen that already, but now they are enteringĪnother population. It says the growth of population A can be modeled by f of t is equal to that. Now let's keep building and go to the next part of this, and it says, it says, so once again, we measure theĪrea in square millimeters to figure out the growth This t axis doesn't even go to 600 hours, so we wouldn't select that, as well. The hours looks like it'sĪ little bit after eight, so they're definitely not equal. That's definitely not the case, 'cause the area here isĦ00 square millimeters. It describes the situation where the area of the population occupies isĮqual to the number of hours. It gives a t value where this is true, so that's the solution to that equation. Or another way to think about it, it means that that is equal to that or that 24 times e to theĠ.4 t power is, indeed, equal to 600. These two graphs equal, that means that they're bothĮqual to the same y value.

This is y is equal to 600, so the t value at which We've already talked about it, that is y is equal to 24 Well, if you think about it, this right over here in blue, It gives the solution to the equation 24 times e to the 0.4 t is equal to 600. The population has, indeed, reached 600 square millimeters, 'cause that's the line y isĮqual to 600 square millimeters. So does that describe the time when the population occupiesĦ00 square millimeters? So that is the time when So which statement represents the meaning of the intersection point of the graph? So they're talking about, they're talking about this Says it describes the time when the population occupiesĦ00 square millimeters.

$solving quadratic equations by graphing$

So and it says choose all that apply, so pause this video and Statement represents the meaning of the intersection point of the graphs? All right, so let's lookĪt the choices here. So they added that graph there, and then they say which Here is the graph, here is the graph of f and the graph of the line y equals 600. This is the function, but then they add this next line. Millimeters, square millimeters to study the growth. So if I go back up to the top, and now, we're told the same thing where you're using square Now let's do the next fewĮxamples that build on this. So it first hits it after seven hours, so seven hours just like that. Is right over there, and so it looks like after seven hours, that we are going to be 400 The population first occupy an area of 400 square millimeters? Well, let's see. All right, and this is a screenshot from the Khan Academy exercise, so we want to say when does In fact, we know it's growing exponential 'cause it's an exponentialįunction right over here, and they say when does the populationįirst occupy an area of 400 square millimeters? So pause this video and Little bacterial population keeps going, and it clearly is growing, or it looks like it's We see how as time goes on, the square millimeters of our Is going to be the number of square millimetersĪfter t hours, all right? So here, we have the graph.

So I guess f is going to be, the output of this function Population can be modeled by f of t is equal to 24 timesĮ to the 0.4 times t power where t is the number of hours maximum value of the quadratic equation if the parabola opens downward.Study the growth of bacteria, a scientist measure theĪrea in square millimeters occupied by a sample population.minimum value of the quadratic equation if the parabola opens upward.The y- coordinate of the vertex of the graph of a quadratic equation is the.Minimum or Maximum Values of a Quadratic Equation.Find the point symmetric to the y-intercept across the axis of symmetry. Determine whether the parabola opens upward or downward.Write the quadratic equation with yy on one side.To Graph a Quadratic Equation in Two Variables.

Solving quadratic equations by graphing