Answer:
1.592 < x < 1.608
So x must be between 1.592 and 1.608
Step-by-step explanation:
y=5x+1
Since we know that y must be within .04 of 9, we know the highest y value will be 9 + .04 = 9.04, and the lowest y value will be 9 - .04 = 8.96
We can write this as an inequality like such:
8.96 < y < 9.04
So we need to find where y is greater than 8.96, and less than 9.04
To do this we need to solve both equations for x
9.04 = 5x + 1
8.04 = 5x
8.04/5 = x
1.608 = x
So we know when x = 1.608 then y = 9.04
Now lets solve for the smaller y value
8.96 = 5x + 1
7.96 = 5x
7.96/5 = x
1.592 = x
So we know when x = 1.592 then y = 8.96
So y will be between 9.04 and 8.96 from 1.592 to 1.608
The range must be between:
1.592 < x < 1.608
