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stepladder [879]
3 years ago
15

Sam is a waiter at a local restaurant where he earns wages of $7 per hour. Sam figures that he also earns about $5 in tips for e

ach person he serves. Sam works 6 hours on a particular day.
If n represents the number of people Sam serves that day, which of the following functions could Sam use to figure E, his total earnings for the day?
A. E(n)=5n
B. E(n)=7n+30
C. E(n)=5n+42
Mathematics
2 answers:
mote1985 [20]3 years ago
8 0
<span>C. E(n)=5n+42

5 times the number of people + 7 times 6
</span>
salantis [7]3 years ago
5 0
<span>C. E(n)=5n+42

Here, n = number of people
& 6 * 7 = 42 [ wage without tip ]

Hope this helps!</span>
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Dominik [7]

Answer:

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Step-by-step explanation:

In order for the equation to be true, the value of the scalar multiplier must be ...

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3 years ago
In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

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Solving both equations simultaneously using elimination method.

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11d = -33

d = -3

Substituting d = -3 into 1

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a = -40+48

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Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

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Tn-1 = 11-3n +3

Tn-1 = 14-3n

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Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

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From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

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The recursive formula will be

Tn = 2Tn-1 - Tn-2

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<h3>Answer: Choice C) 421.9</h3>

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note: an alternative is to write 3*75 + 3*75/2 + 3*75/4 + 3*75/8, though that is more work. It's better to have that 3 factored out.

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