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Math Problems
Algebra 1
Identify direct variation and inverse variation
The sales tax in your city is
x
e
x
t
,
a
n
d
a
n
i
t
e
m
c
o
s
t
s
y
e
x
t
b
e
f
o
r
e
t
a
x
.
x ext{, and an item costs }y ext{ before tax.}
x
e
x
t
,
an
d
ani
t
e
m
cos
t
s
ye
x
t
b
e
f
ore
t
a
x
.
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Mateo's home is
a
a
a
miles away from school. If Lexi's home is twice as far from school as Mateo's home, which of the following expressions represents the distance between Lexi's home and school, in miles?
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If the graphs of the equations
y
=
log
3
x
y = \log_3x
y
=
lo
g
3
x
and
y
=
2
y = 2
y
=
2
are drawn on the same set of axes, they will intersect where
x
x
x
is equal to
_
_
_
_
\_\_\_\_
____
.
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The equations
x
+
y
=
3
x + y = 3
x
+
y
=
3
and
−
5
x
−
5
y
=
−
15
-5x - 5y = -15
−
5
x
−
5
y
=
−
15
are graphed in the
x
y
xy
x
y
-plane. Which of the following must be true of the graphs of the two equations?
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Which equation shows inverse variation?
\newline
Choices:
\newline
(
x
36
)
=
y
(\frac{x}{36}) = y
(
36
x
)
=
y
\newline
y
x
=
−
74
yx = -74
y
x
=
−
74
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