Susan is choosing between two exercise routines. in routine #1, she burns 25 calories walking. she then runs at a rate that burns 15.5 calories per minute. in routine #2, she burns 46 calories walking. she then runs at a rate that burns 10.25 calories per minute. for what amounts of time spent running will routine #1 burn fewer calories than routine #2

Less than 4 minutes  (x < 4)

Step-by-step explanation:

Set up an inequality with the 2 routines.

Routine 1:  y = 25 + 15.5x

Routine 2: y = 46 + 10.25x

We want to know what values of x (time) will allow Routine #1 < Routine #2

25 + 15.5x < 46 + 10.25x

15.5x < 21 + 10.25x

5.25x < 21

x < 4

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.