The company also discovered that it costs $25 to produce 2 camera cases, $59 to produce 4 camera cases and $305 to produce 10 camera cases . find the total cost of producing 5 camera cases !

Cost of 5 camera cases is $85.

Step-by-step explanation:

First we need to determine what type of function we're dealing with, is it linear, quadratic or exponential?  We can determine this by calculating the first difference.

We can translate the number of cameras to correspond to the x axis and cost to the y axis.  By doing this we can come up with the ordered pairs of (2,25), (4,59),(10,305).  Let's get the first two ordered pairs and calculate the first difference:

And now the second and third value:

Notice how these values do not match, this means that this function is not increasing at a constant rate meaning that this function is not linear.  Now let's calculate the second difference:

This means our function is quadratic with a=3.  Remember that generally speaking a quadratic function is such that:

Where a,b,c are coefficients and in this case a=3.  Now, let's solve for b and c values by using the coordinates given.  Let's use the coordinates (2,25) where x=2 and y=25 and so:

Now let's solve for "c" by using different coordinates (4,59) where x=4 and y=59 and also use the "b" value that we calculated above and so:

Now that we know the value of "c" we can use the equation for b to solve for b and so:

So this means in the quadratic equation a=3, b=-1 and c=15 therefore by using the general equation of a quadratic function we obtain or final equation:

Since we want to find the total cost of producing 5 camera cases x=5 and so:

And so the cost of 5 camera cases is $85.

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: