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

Sagot :

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

Linear function

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: https://brainly.com/question/15602982

Answer:25 months

Step-by-step explanation:

because that’s what it says