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Gekata [30.6K]
3 years ago
5

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?
Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

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.

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