Answer:
<h2>
y=6.25x+8.5</h2>
Step-by-step explanation:
Step one:
Given data
amount of money earned per hour= $6.25
amount of money made in tips= $8.5
if x represents the number of hours worked and
y represents the total amount earned
The linear function for the total is expressed as
y=mx+c
Step two:
Hence for the situation given the expression for the total is
y=6.25x+8.5
Say Kayla worked for 2 hours
that is x=2, the total she would have earned is
y=6.25(2)+8.5
y=12.5+8.5
y=21
For a 2 hour work, Kayla will make $21
Answer:
The smoothing constant alpha is 0.20 (Option a)
Step-by-step explanation:
To solve this problem, first we write the succession of the simple exponential smoothing:

Where s(t) is the forecast for period t, s(t-1) is the forecast for period (t-1), xt is the real demand for period t, and alpha is the smoothing constant.
All but the alpha constant are known
s(t)=109.2
s(t-2)=110
xt=110-4=106
Then, we can calculate alpha as:

Answer:
x = 3 and x = 7
Step-by-step explanation:
Equate the product of the factors to zero, that is
(x - 3)(x - 7) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 7 = 0 ⇒ x = 7
Answer:
x > 1
Step-by-step explanation:
subtract 6 from both sides
Divide both sides by 2
Answer:
there are 8 candles
Step-by-step explanation:
(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.
Therefore to obtain a 1:1 ratio:
=30 candles/18 candle holders * (18/30)
Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders
(ii) Caroline can make = 30*18 = 540 table decorations
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