Answer:
x<6
Step-by-step explanation:
x+1 < 7
Subtract 1 from each side
x+1-1<7-1
x <6
Answer:
500
Step-by-step explanation:
Let x be the original price
Take the first discount
x - 18 percent
x - .18x = new price
x( 1-.18)
x ( .82) = new price
Now we take a 20 percent discount
This is on the discounted price, use .82x
.82x - 20 percent= 2nd discounted price
.82x - .20(.82x)
.82x -.164x
.656x= 2nd discounted price
.656x = 328
Divide each side by.656
.656x/.656 = 328/.656
x =500
The original price was 500
Answer:
12,500-11,625=875
875/12,500=7/100
7/100*100=7
The percentage reduction is 7%
P.S * represents multiplication
Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
