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kumpel [21]
4 years ago
12

For Mr.Greene's wireless phone bill, 3 months costs $180. For 9 months, his Bill was $540. Which equation best represents the re

lationship between the amount of months (x) and total cost (y)?
Mathematics
2 answers:
Dimas [21]4 years ago
8 0

Answer:

Step-by-step explanation:

Let x represent the monthly cost of

Mr.Greene's wireless phone.

Let y represent the total cost for x months

Mr.Greene's wireless phone bill, 3 months costs $180. This means that

1 month would cos 180/3 = 60

For 9 months, his Bill was $540. This means that

1 month would cos 540/9 = 60

The equation that best represents the relationship between the amount of months (x) and total cost (y) is

y = 60x

Ivenika [448]4 years ago
7 0

Answer:

Very simply divide the 3 months cost, $180, by 3.

180/3 = 60

y = 60x

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Read 2 more answers
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
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