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Oxana [17]
2 years ago
13

A small-business owner will lease a billboard to advertise her business. The table shows the linear relationship between the cos

t of leasing a billboard from Company N and the number of months the billboard is leased. The cost to lease a billboard from a different company, Company P, for x months can be found using P(x) = 100x. For what number of months will the cost of leasing a billboard be the same for both companies?
Number on months, x. - Cost, N
1 - 580
2 - 660
3 - 740
4 - 820
5 - 900

RoC = + 80

A. 9 months
B. 29 months
C. 10 months
D. 25 months
Mathematics
2 answers:
photoshop1234 [79]2 years ago
6 0

Answer:25 months

Step-by-step explanation:

because that’s what it says

soldi70 [24.7K]2 years ago
4 0

It would take about 25 months for the cost of leasing a billboard be the same for both companies.

<h3>Linear function</h3>

A linear function is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let P represent the cost to lease a billboard from a different company for x months. Given that:

P(x) = 100x

For the second company, let C represent the cost, hence using the table point (1, 580) and (5, 900):

C - 580 = [(900 - 580)/(5 - 1)](x - 1)

C = 80x + 500

For the same cost:

100x = 80x + 500

x = 25 months

It would take about 25 months for the cost of leasing a billboard be the same for both companies.

Find out more on Linear function at: brainly.com/question/15602982

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The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c
Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function s(p)=\dfrac{3000}{2p+a}, where <em>s</em> is the number of cartridges sold, in thousands; <em>p</em> is the price per cartridge, in dollars; and <em>a</em> is a constant.

Put s(p)=100000, p= 10, we get

100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97

i.e. s(p)=\dfrac{3000}{2p-19.97}

Put p=20, we get

s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

8 0
3 years ago
Terri is starting a babysitting service to make some extra money. She plans to charge a base fee of $10 plus $7 per hour. Write
katrin2010 [14]

Answer:

<h2>y=7x+10</h2>

Step-by-step explanation:

Step one:

Base fee Charge= $10

Charges per hour= $7

Let the number of hours be x

and let the total charges be y

Step two:

the linear function for the total charges can be represented using the equation of a straight line, which is

y=mx+c

where y= tota charges

           m= the charges per hour

            x= is the number of hours worked

           c= the base fee

Step three:

the equation is

y=7x+10

8 0
3 years ago
What is the cross section of a circle and lateral surface of a cone
OleMash [197]

Answer:

Step-by-step explanation:

A cone is a three-dimensional closed figure that has a circular base connected to a vertex (or apex) point outside the plane of the base. Similar Cross Sections. (parallel to base) • The one and only base of the cone is a circle (or other curved figure).

3 0
3 years ago
1. Write a linear equation with the given information
Readme [11.4K]

1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1

2) The equation of the perpendicular line in Slope Intercept Form is;

y = ³/₂x - 4

<h3>How to write equation in Slope Intercept Form?</h3>

1) When two lines are parallel, it means their slopes are the same.

Formula for equation in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, slope of y = -x + 1 is m = -1.

Equation of parallel line is;

(y - (-5))/(x - 4) = -1

y + 5 = -x + 4

y = -x - 1

2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;

Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;

(y + 1)/(x - 2) = 3/2

2y + 2 = 3x - 6

2y = 3x - 8

y = ³/₂x - 4

Read more about slope intercept form at; brainly.com/question/1884491

#SPJ1

3 0
2 years ago
Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation
Keith_Richards [23]
A) Original price : y =10.x
Cheaper brand : y = 7x
The original box is $3 more than the cheap one. 
Proof:Suppose 1 box is bought of each (x=1),Original will cost $10 & the Cheaper Price is $7

B) Each time he buys a cheap brand he save $3 ($10-$7).
 On 5 cheap boxes, He would save $3 x 5 boxes = $15.
4 0
3 years ago
Read 2 more answers
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