Question

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.

Which equation represents the situation?

Manuel’s Crates
Crates
2 4 6 8
Cost 25 45 65 85


A.
y – 2 = −10(x – 25)

B.
y – 4 = 10(x – 45)

C.
y – 65 = −10(x – 6)

D.
y – 85 = 10(x – 8)

Answer 1

can you help me @Michele_Laino

Answer 2

you have to construct this relationship:
y=kx+h.
inserting first point, we can write:
25=2k+h.
inserting the second couple of your data, we can write:
45=4k+h.
now we solve the first equation in order to find h:
h=25-2k

Answer 3

then we substitute h=25-2k in the second equation:
45=4k+25-2k
from which:
2k=20
then k=10.
and h=25-2*10=5
so your function is:
y=10x+5

Answer 4

so i don't understand can you plz explain again

Answer 5

ok! you have to determine both coefficient k, h in the relationship y=kx+h

Answer 6

so we use the first couple of your numerical dat, namely 2, 25.
I supposed that x= number of crates, and y= cost of crates.
substituting x=2 and y=25, we have:
25=2k+h

Answer 7

now we do the same with the second couple of your numerical data, namely x=4, y=45,
so we can write;
45=4k+h.
We have the subsequent system:
\[25=2k+h, 45=4k+h\]
using the nsubstitution method, we find:
k=10, and h=5, so your function is:
y=10x+5, namely D.

Answer 8

so its D @Michele_Laino

Answer 9

yes it is!

Answer 10

thx so so much i really appreciate it so much @Michele_Laino thx thx

Answer 11

thank you! @brucebaner

Answer 12

and thx again