Respuesta :
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.
[tex]y=4x-3[/tex]
A) If x is increased by 4 units
New value of y = [tex]4(x+1)-3[/tex]
[tex]=4x+4-3[/tex]
[tex]=4x+1[/tex]
So, change in y = new value of y- original value of y
[tex]=4x+1-(4x-3)[/tex]
[tex]=4x+1-4x+3[/tex]
[tex]=4[/tex]
Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y = [tex]4(x-5)-3[/tex]
[tex]=4x-20-3[/tex]
[tex]=4x-23[/tex]
So, change in y = new value of y- original value of y
[tex]=4x+1-(4x-3)[/tex]
[tex]=4x-23-(4x-3)[/tex]
[tex]=4x-23-4x+3[/tex]
= -20
Thus, the value of y will be decreased by 20 units.
