A small order coffee company charges $12 for each bag of coffee +3 dollars shipping no matter how many bags are ordered. Describe the function that this situation gives rise to. make a table for this function, sketch a graph for this function, and find an equation for this function. Is the function linear or not? How can you tell?
Step 1
Describe the function,
.
Let
x, the number of bags
shipping = 3 dollars
Charges=$12 for each bag, then
charges=12*x
Now, the total is
total=charges + shipping
total=12x +3
now, we have a function ( the total (y) depends on the number of bags)
where
y is the total charge, and x is the numbers of bags
Step 2
assume values for x, replace and find y
x=-3
then y=12(-3)+3, y=-36+3, y=-33
so, when x=-3, y=-33
2
then y=12(-2)+3, y=-24+3, y=-21
so, when
x=-2, y=-21
1
then y=12(-1)+3, y=-12+3, y=-9
so, when
x=-1, y=-9
0
then y=12(0)+3, y=+3, y=3
so, when
x=0, y=3
1
then y=12(1)+3, y=12+3, y=15
so, when
x=1, y=15
the table is
x y
-3 -33
-2 -21
-1 -9
0 3
Step 3
, just sepick two cooridnadinates from the table mak, then mark those pintsoints, and finally, dwr in the planeaaw a line conceeecting he connectingnts
Step 4
as you can see, when we take the points of the table and we unite them, a line appears
so , this is a linear function
Also, the exponent of the variable ( x) is cero, which means it is a linear function.