A hamster runs at a speed of 4 centimeters per second in a wheel of radius 13 centimeters.
a) What is the angular velocity of the wheel?

4/13

Step-by-step explanation:

angular velocity is equal to velocity divide by the radius

so 4/13

b. the decimal could be two-tenths.

step-by-step explanation:

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.