To send a standard letter through first-class mail, the cost depends on the weight of the letter. any letter one ounce or less will need $0.46 in postage. for each additional ounce over that, or any part of an ounce, the sender must add $0.20 more postage. create a graph showing the cost of mailing standard first-class letter weighing from 0 to one pound(16 ounces). explain how you know your graph is correct.

Let x represents the total weight of the parcel and f(x) represents the cost of the parcel,

Then, according to the question,

Any letter one ounce or less will need $0.46 in postage.

That is, For 0 < x ≤ 1, f(x) = 0.46

For each additional ounce over that, or any part of an ounce, the sender must add $0.20 more postage,

Also, the maximum weight = 16 ounces,

0.46 + 0.20 (x-1)= 16

⇒ 0.20 (x-1) = 15.54

⇒ x-1 = 77.7⇒ x = 78.7

Hence, the function that shows the cost of the letter having weight greater than 1 ounces is,

And, for 1 < x ≤ 78.7 f(x) = 0.46 + 0.20(x-1),

Thus, the complete function that shows the given situation is,

Thus, we get two line, y = 0.46 and y = 0.46 + 0.20(x-1),

Which are plotted in the below graph.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕