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Ostrovityanka [42]
3 years ago
6

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

per minute used on the phone. If a customer uses 360 minutes the monthly cost will be $183. If the customer uses 630 minutes the monthly cost will be $304.50.
Find the equation for the monthly cost in dollars
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer: y = 0.45x + 21

Step-by-step explanation:

let x represent the number of minutes used in a month.

Let y represent the monthly cost for x minutes.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (304.5 - 183)/(630 - 360)

m = 121.5/270 = 0.45

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = y intercept

m = slope

To determine the y intercept, we would substitute x = 360, y = 183 and m = 0.45 into y = mx + c. It becomes

183 = 0.45 × 360 + c

183 = 162 + c

c = 183 - 162

c = 21

The equation for the monthly cost is

y = 0.45x + 21

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Analyze then add

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Question 12 (2 points)
elena55 [62]

Answer:

A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.

Step-by-step explanation:

Ordering the data given :

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We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :

Minimum = 24

Maximum = 49

Median = 1/2(n+1)th term

n = 7

Median = 1/2(8) = 4th term

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3 0
3 years ago
Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon
oksano4ka [1.4K]

Answer:

P=$254

Step-by-step explanation:

let Hot N' Spicy be x

and Mild Mannered be y

  the objective function is

38x+35y=P

the constraints are

1. tomato sauce

2x+3y=18--------1

2. hot peppers

2x+y=10--------2

solving 1 and 2 we have

using substitution method

2x+y=10--------2

y=10-2x

put y=10-2x in eqn 1

2x+3(10-2x)=18

2x+30-6x=18

2x-6x=18-30

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x=12/4

x=3

put x=3 in eqn 2 we have

2(3)+y=10

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He should make 3 gallons of Hot N' Spicy

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Answer:

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Step-by-step explanation:

8 0
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kati45 [8]

Answer:

Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1

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Step-by-step explanation:

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