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wolverine [178]
3 years ago
10

giselle pays $210 in advance on her account at the athletic club. each time she uses the club, $15 is deducted from the account.

model the situation with a linear function.
Mathematics
2 answers:
TiliK225 [7]3 years ago
7 0

Answer:

The situation can be modelled by the function f(x)=210-15x. Where f(x) represents the amount of money on her account in $ and x the number of times she uses.

Step-by-step explanation:

As we know each linear function can be expressed as:

f(x) = mx + b

Where m is the rate of change, b the initial value and x the independent variable.  

In this particular example, Gisselle provides on $210 in her account at the beginning, that is the initial value m. As $15 is discounted for each time she uses the club, then 15$/times, represents the rate of the linear function.  

raketka [301]3 years ago
5 0
210-15x
x=number of times she go to the club
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A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same sur
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Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

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nth term (Tn) =?

Tn = a + (n – 1)d

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Tn = 12 + 7n – 7

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Common ratio (r) = 2nd / 1st

r = 16 / 8

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Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

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Tn = 8 × 2ⁿ¯¹

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