Question

SAT question: If x=5y^(t+1) and y does not equal zero, then x/y= ?

Answer 1

one not very satisfactory answer is \(\frac{x}{y}=5y^t\)

Answer 2

the answer choices are:
a. 5y
b. y^t
c. y^t/5
d. 5y^t
e. 5y^(t+2)

sorry, completely forgot about typing the answer choices @satellite73

Answer 3

then i would go with D

Answer 4

Just like @satellite73 said....D

Answer 5

\[x=5y^{t+1}=5y^t\times y\] so
\[\frac{x}{y}=5y^t\]

Answer 6

@satellite73 where does the +1 go when you split it up?

Answer 7

D.

Answer 8

\(b^{n}{b^m}=b^{m+n}\)

Answer 9

so \(y^{t+1}=y^ty\)

Answer 10

@satellite73 Why is it 5y^t and not 5y^t x y ?

Answer 11

you lost me

Answer 12

And how is that the answer overall? I don't see the link between the answer and x/y. Sorry for the hassle

Answer 13

ok lets go slow

Answer 14

\[x=5y^{t+1}\] is what is given

Answer 15

that is the same as saying
\[x=5y^t\times y\] since \(y^t\times y=y^{t+1}\)

Answer 16

then if you divide both sides by \(y\) you get
\[\frac{x}{y}=\frac{5y^t\times \cancel{y}}{\cancel{y}}=5y^t\]

Answer 17

@satellite73 How do you know that 5y^t x y is the numerator?

Answer 18

OH okay NEVERMINd

Answer 19

ok