Write an equation of the line below (0,-4) and (5,-6)

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom

bagirrra123 [75]

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

$y =mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500$

So, the equation is:

$y =-500x+c$

Putting x = 20, y = 5000:

$5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000$

$\Rightarrow \bold{y =-500x+15000}$

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

$-500 \times 18 +15000 = -9000+15000 = 6000$ so, it is true.

So, the answer is:

The best fit is A. Linear model

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The cost of tuition at Johnson Community College is $160 per credit hour. Each student also has to pay $50 in fees. Model the co

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The drama club was selling ticketsto the school play. Adult ticketscost $8.00 each, and studenttickets cost $5.00 each. The litt

BlackZzzverrR [31]

We are given a problem that can be solved using a system of linear equations. Let A, be the number of adults, and S the number of students. Since there are in total 142 people and there were two days, this means that the sum of the number of adults and the number of students must be 284, which can be written mathematically as follows:

$A+S=284,(1)$

This is our first equation. The second equation is found using the total sales of $1948. Since the ticket per adult is $8 and per student is $5, we have the following equations: