Question

Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units, what is the corresponding change in y?

Answer 1

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.

$y=4x-3$

A) If x is increased by 4 units

   New value of  y =  $4(x+1)-3$

                              $=4x+4-3$

                              $=4x+1$

So, change in y = new value of y- original value of y

                         $=4x+1-(4x-3)$

                          $=4x+1-4x+3$

                          $=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

   New value of  y =  $4(x-5)-3$

                              $=4x-20-3$

                              $=4x-23$

So, change in y = new value of y- original value of y

                         $=4x+1-(4x-3)$

                          $=4x-23-(4x-3)$

                          $=4x-23-4x+3$

                          = -20

Thus, the value of y will be decreased by 20 units.