Given the equation 2x + 10y = 10, answer the following questions:

If x decreases by 2 units, what is the corresponding change in y?

? units

2x + 10y = 10.

When x = 0, Y = 1.
When x = 0-2 = -2, Y = 1.4.

Change in y = 1.4-1 = 0.4 Units.

To find the corresponding change in y when x decreases by 2 units in the equation 2x + 10y = 10, we can solve for y in terms of x.

First, let's rearrange the equation:

2x + 10y = 10

Subtract 2x from both sides:

10y = 10 - 2x

Divide both sides by 10:

y = (10 - 2x) / 10

Now we can substitute x - 2 into the equation for x and solve for y:

y = (10 - 2(x - 2)) / 10

Simplifying this equation, we get:

y = (10 - 2x + 4) / 10
y = (14 - 2x) / 10
y = 7/5 - (1/5) * x

Now we can see that when x decreases by 2 units, the corresponding change in y is given by:

Change in y = (1/5) * (change in x)

Since x decreases by 2 units, the change in x is -2. Therefore,

Change in y = (1/5) * (-2)
Change in y = -2/5

So, the corresponding change in y when x decreases by 2 units is -2/5 units.