we have
where
c---------> is the total cost of going to the carnival
t---------> is the number of tickets purchased
we know that
<u>the domain of the function is the interva</u>l---------------> [0,∞)
Because the number of tickets can not be negative
<u>The range of the function is the interval</u>-------------> [10,∞)
Because the total cost can not be negative
using a graph tool
see the attached figure
The answer in the attached figure
We need to graph this equation:
Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:
And we divide both sides by 2:
So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:
So the first point is (0,150). Then we can take x=10 and we get:
So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it