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Nuetrik [128]
1 year ago
10

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

ey per minute used on the phone. If a customer uses 470 minutes, the monthly cost will be $200.5. If the customer uses 590 minutes, the monthly cost will be $242.5.
A) Find an equation in the form
y=mx+b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the NextFell plan.
Mathematics
1 answer:
zaharov [31]1 year ago
7 0

The equation in the form y = mx + b is y = 0.35x + 36.

<h3>How to represent a linear equation?</h3>

The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

y = mx + b

where

  • x = the number of monthly minutes used
  • y = the total monthly of the Next fell plan

using the coordinates, let's find m

(470, 200.5)(590, 242.5)

Hence,

m = 242.5 - 200.5 / 590 - 470

m = 42 / 120

m = 0.35

Therefore,

y = 0.35x + b

200.5 = 0.35(470) + b

200.5  - 164.5 = b

b = 36

Finally, the equation in the form y = mx + b is y = 0.35x + 36.

learn more on linear equation here: brainly.com/question/24223023

#SPJ1

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Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

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  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

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where:

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  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

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\huge\mathfrak\orange{answer}

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