Question

A company builds Electronic Entertainment Centers. It costs $8,700 to build 10 Electronic Entertainment Centers and $14,300 to build 20 Electronic Entertainment Centers. Which equation models the cost, C(x), as a linear function of the number of Electronic Entertainment Centers, x?
Answer







C(x) = 3100x + 560








C(x) = 560x + 3100








C(x) = 560x - 3100








C(x) = 3100x - 560

Answer 1

\[C(10)=$8,700\]\[C(20)=$14,300\]

Answer 2

then what?

Answer 3

the first option is this
\[C(x) = 3100x + 560\]
if we try x=10 we get
\[C(10)=3100\times10+560=$31,560\ne$8,700\]
so that option is not correct

Answer 4

alright

Answer 5

try another option ,
\[\cancel{C(x) = 3100x + 560}\]
\[C(x) = 560x + 3100\]
\[C(x) = 560x - 3100 \]
\[C(x) = 3100x - 560\]

Answer 6

plug in x=10 and try to get 8700
if that works you still have to check that x=20 gives 14,300 as-well,

since the equations are straight lines two points are enough to define the line

Answer 7

so which 1 is it?

Answer 8

can you see how i checked the first equation for c(x)?

Answer 9

somewhat

Answer 10

i tested the point in the equations with an input and checked if the out put was what i wanted

Answer 11

ok

Answer 12

to test the second function \(C(x)=560x+3100\)

\[C(10)=560\times10+3100=? \]
does this equal $8,700?

Answer 13

yes

Answer 14

so one point on the line \(C(x)=560x+3100\) is the same

is the other point the same also?
is \(C(20)=14300\)?

Answer 15

yea

Answer 16

so you have prove two point on the line are right, now since both lines are linear , they must be the same line.

Answer 17

alright thanks

Answer 18

so B.