Answer:
value of n is 5
Third option is correct.
Step-by-step explanation:
Let the equation of the linear function is y = mx + b
From the given table, we have two points (-4,-25) and (-1,-10)
The slope of the line containing these two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-10+25}{-1+4}\\\\m=\frac{15}{3}\\\\m=5[/tex]
Now, put m = 5, x = -4 and y = -25 in the equation y = mx+b
[tex]-25=5\cdot(-4)+b\\\\-25=-20+b\\\\b = -5[/tex]
Therefore, equation of linear function is [tex]y=5x-5[/tex]
Now, put x = n and y =20
[tex]20=5n-5\\\\5n=25\\\\n=5[/tex]
Therefore, the value of n is 5
