Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
The volume of the moving box will be 7776 cubic inches,.
<h3>What is the volume of the rectangular prism?</h3>
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L × W × H
V = Base area x height
A moving box has a square base with an area of 324 in².
Its height is 24 inches.
Then the volume of the moving box will be
V = Base area x height
V = 324 x 24
V = 7776 cubic inches
More about the volume of the prism link is given below.
brainly.com/question/16246207
#SPJ1
Answer:
18 minutes
Step-by-step explanation:
Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:
Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:
Together, in 1 minute they can peel:
- 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes
To peel all the potatoes they need:
- 1 ÷ 1/18= 1 × 18= 18 minutes
So it will take them 18 minutes to peel all the potatoes
Answer:
University student has more debt
Step-by-step explanation:
9650-8455/1865 =0.64 College student
12360-10326/2143 =0.95 University student
Hopefully this helps
Answer:
-3x+1y=-1
or
3x-1y=1
or
by multiplying with 1/3 the first equation we get
-1x+1/3y=-1/3
or from second equation
1x-1/3y=1/3
Step-by-step explanation:
y-y1=m(x-x1)
y1=-7
x1=-2
m=3
so
y-(-7)=3(x-(-2))
y+7=3(x+2)
y+7=3x+6
-3x+y=6-7
-3x+ 1y= -1
