Given
total cost of leasing a car at the end each month
Find
Write an equation in slope-intercept form
Explanation
Let y represent the total cost , of leasing a car for x months.
slope intercept form is given by
y = mx + b
from table , we get two equations ,
1859 = m + b ...............1)
2577 = 3m + b ...............2)
now solve these two equations by elimination method ,
subtract both equations
[tex]\begin{gathered} 1859-2577=m+b-3m-b \\ -718=-2m \\ m=359 \end{gathered}[/tex]
put the value of m in equation 1 to find the value of b
[tex]\begin{gathered} 1859=359+b \\ 1500=b \end{gathered}[/tex]
so , the equation becomes
y = 359x + 1500
Final Answer
Hence , the equation in slope-intercept form is y = 359x + 1500
