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# What happens to y as x increases?

Updated: 12/21/2022

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Q: What happens to y as x increases?
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### What happens to the graph when x is nearly zero?

When x is nearly zero,y increases in value.

### What happens when the y value increases does the x value increase decrease or stay the same?

The value of x is directly proportional to to the value of y.hence when the value of x increases the value of y decrteses and vice verse

### What is the pattern for y equals x plus 2?

y=x+2, as x increases, y increases

### What happens to the value of y as x increases if the slope is negative?

If the slope is negative, y decreases as x increases. The slope goes from top-left of the graph (Quadrant II) to the lower-right of the graph (Quadrant IV).

### Relationship between variables in direct proportionality and inverse proportionality?

Variables X and Y are in direct proportion is Y = c*X for some constant c (not zero). Then X increases whenever Y increases and conversely. Y increases by c times the increase in X. Variables X and Y are in inverse proportion is X*Y = k for some constant k (not zero). Then X increases whenevr Y decreases and conversely.

### If y tends to increase as x increases on a scatter plot what is the correlation of the paired data?

If Y increases as X increases, you are referring to a positive correlation. However, if Y falls as X increses, you have a negative correlation.

### If xy equals 20 then y decreases as x - decreases increases or stays constant?

linear if xy = 20, then y = 20/x or y = 20(1/x) So x can be positive or negative but not zero: There are 3 cases: Case 1: if x = 20, then y is constant, y = 1. Case 2: a) if x &gt; 0, and if x &rarr; 0+, then y &rarr; &infin; (if x decreases but not reaches zero, then y increases without end). b) if x &lt; 0 and if x &rarr; -&infin;, then y &rarr; 0 (if x decreases, then y increases and approaches to zero). Case 3: a) if x &gt; 0 and if x &rarr; &infin;, then y &rarr; 0 (if x increases, y decreases and approaches to zero) b) if x &lt; 0, and if x &rarr; 0-, then y &rarr; -&infin; (if x increases but not reaches zero, then y decreases without end).

### How are direct variations different from inverse variations?

Consider two variables x and y. If x varies directly as y then y = cx where c is some constant of variation. This means that whenever x increases, y increases and it increases by c times as much as the increase in x. Also, if x decreases, then y decreases by c times the decrease in x. If x varies inversely as y then y = k/x where k is some constant of variation. This means that whenever x increases, y decreases and it decreases by k times as much as the increase in x. Also, if x decreases, then y increases by k times the decrease in x.

### If y is inversely proportional to the square of x fully explain what happens when x is doubled?

if INVERSELY proportional then y = 1/X^2 ( that is, 1 divided by x squared) If X doubles then X SQUARED increases as 2 x 2 = 4 times SINCE Y = 1/x^2 then Y DECREASES 4 times

### What is a positive or negative relationship on a graph?

If a function Y is dependent on X. if X increases in value then Y also increases then we call this a positive relationship. If X increases in value then Y decreases or vice versa then we call this a negative relationship.

### How would you describe varies directly and show it in an equation?

when x increases y increases.. y=kx