IDNLearn.com is the perfect place to get answers, share knowledge, and learn new things. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.
Sagot :
The expression [tex]$-500 \times 18+15000=-9000+15000=6000[/tex] which best fit exists in the Linear model.
How to estimate the linear model?
Given: Monthly Rate = $20
Number of customers = 5000
If there exists a decrease of $1 in the monthly rate, the number of customers increases by 500.
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 = $18
Number of customers = 5500 + 500 = 6000
Linear change in the number of customers whenever there exists a decrease in the monthly rate.
We have 2 pairs of values here,
x = 20, y = 5000
x = 19, y = 5500
The equation in slope-intercept form: y = mx + c
The slope of a function: [tex]${data-answer}amp;m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\[/tex]
[tex]${data-answer}amp;m=\frac{5500-5000}{19-20} \\[/tex]
[tex]${data-answer}amp;\Rightarrow-500[/tex]
So, the equation is y = -500x + c
Putting x = 20, y = 5000:
[tex]${data-answer}amp;5000=-500 \times 20+c \\[/tex]
[tex]${data-answer}amp;\Rightarrow c=5000+10000=15000 \\[/tex]
[tex]${data-answer}amp;\Rightarrow \mathbf{y}=-500 \mathbf{x}+15000[/tex]
Whether (18,6000) satisfies it.
Putting x = 18
[tex]$-500 \times 18+15000=-9000+15000=6000[/tex]
Therefore, the expression [tex]$-500 \times 18+15000=-9000+15000=6000[/tex] which best fits exist Linear model.
To learn more about the linear model refer to:
https://brainly.com/question/6110794
#SPJ4
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.
