Solution in the attachment.
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7.
Direct variation is:
Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:
Divide 10 to both sides:
Plug this in for 'k' in our formula:
This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':
Multiply:
9.
Let's plug in y = 9 and x = 8 into our formula:
Divide 8 to both sides:
So our equation is:
Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:
Divide 9/8 to both sides or multiply by its reciprocal 8/9:
Direct variation is:
Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:
Divide 10 to both sides:
Plug this in for 'k' in our formula:
This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':
Multiply:
9.
Let's plug in y = 9 and x = 8 into our formula:
Divide 8 to both sides:
So our equation is:
Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:
Divide 9/8 to both sides or multiply by its reciprocal 8/9: