1) if y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.
2) if y varies directly as x, and y=15 as x=-3, find y for the x value of 4

Part 1) y=6

Part 2) y=-20

Step-by-step explanation:

Part 1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

we have

For x=-2, y=3

Find the value of the constant k

substitute the values of x and y

The equation is equal to

so

For x=-1

substitute in the equation and solve for y

Part 2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

we have

For x=-3, y=15

Find the value of the constant k

substitute the values of x and y

The equation is equal to

so

For x=4

substitute in the equation and solve for y

it's undefined because anything multiplied by 0 is 0. that said, 7 days is 168 hours