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Answer:
1.) 12 hours 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
First, let's find the slope of this equation:
m = 135 - 81 / 5 - 3
m = 54/2
m = 27
Therefore, the equation should be y = 27x.
Now we substitute 324 for y and solve for x:
324 = 27x
12 = x (Divided 27 on both sides.)
Therefore, someone would have to work 12 hours in order to earn $324.
2.)
For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.
Sequence: -4, 8, -16
rate of increase: -16/8 = -2
If you make A1 the first term in the sequence you must use (n-1) in the explicit formula. If you go backwards in the sequence to find A0 = 2 then you would use n.
The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.
An = -4(-2)^(n-1)
Solving for the 5th term A5, use n = 5
A5 = -4(-2)^(5-1)
A5 = -4(16)
A5 = -64
So the answer is B.
Answer:
6, 11, 16, 21
Step-by-step explanation:
To obtain the first 4 terms add the common difference 5 to the previous term, that is
a₁ = 6
a₂ = a₁ + 5 = 6 + 5 = 11
a₃ = a₂ + 5 = 11 + 5 = 16
a₄ = a₃ + 5 = 16 + 5 = 21
Answer:
10
Step-by-step explanation: