Write an equation in slope-intercept form to represent

Ответ:

xojade

30.01.2022

Mathematics

y=359x+1500

Step-by-step explanation:

The data provided is as follows:

Months (x) Costs (y)

1 $1,859

3 $2,577

8 $4,372

12 $5,808

The slope intercept form is:

y = mx+b

Here,

m = slope

b = intercept.

Compute the value of m and b as follows:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 14616 \cdot 218 - 24 \cdot 114262}{ 4 \cdot 218 - 24^2} \approx 1500 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 114262 - 24 \cdot 14616 }{ 4 \cdot 218 - \left( 24 \right)^2} \approx 359\end{aligned}$

The equation in slope-intercept form to represent the total cost, y, of leasing a car for x months is:

y=359x+1500

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Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months. months costs
1 $1,859
3 $2,577
8 $4,372
12 $5,808

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Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months. months costs 1 $1,8593 $2,5778 $4,37212 $5,808

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Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months. months costs
1 $1,859
3 $2,577
8 $4,372
12 $5,808