Question
y=2x+3
when x increases by 4, what does y increase by
when x increases by 4, what does y increase by
Answers
GPT 3.5
When x increases by 4 in the equation y = 2x + 3, we can substitute x + 4 into the equation to find the new value of y:
y = 2(x + 4) + 3
y = 2x + 8 + 3
y = 2x + 11
Therefore, when x increases by 4, y increases by 11.
y = 2(x + 4) + 3
y = 2x + 8 + 3
y = 2x + 11
Therefore, when x increases by 4, y increases by 11.
thats wrong
GPT 3.5
Apologies for the mistake. Let's correct it:
Given the equation y = 2x + 3, when x increases by 4, the new x value is x + 4.
Let's substitute x + 4 into the equation to find the new value of y:
y = 2(x + 4) + 3
y = 2x + 8 + 3
y = 2x + 11
To find out the increase in y, we subtract the original y value (2x + 3) from the new y value (2x + 11):
(2x + 11) - (2x + 3)
= 2x + 11 - 2x - 3
= 8
Therefore, when x increases by 4, y increases by 8.
Given the equation y = 2x + 3, when x increases by 4, the new x value is x + 4.
Let's substitute x + 4 into the equation to find the new value of y:
y = 2(x + 4) + 3
y = 2x + 8 + 3
y = 2x + 11
To find out the increase in y, we subtract the original y value (2x + 3) from the new y value (2x + 11):
(2x + 11) - (2x + 3)
= 2x + 11 - 2x - 3
= 8
Therefore, when x increases by 4, y increases by 8.