Lúcia is using energy at a rate of 420 kilocalories (kcal) per hour (h) ice skating. at what rate is lúcia using energy in calories per minute (cal/min)?

7,000 calories or 7 kilo cal/min.

Step-by-step explanation:

Lucia is using energy at a rate of 420 kilo calories per hour ice skating.

1 kilo calories = 1000 calories

420 kilo calories = 420,000 calories

1 hour = 60 minutes

∵  Lucia is using energy per 60 minutes =  420,000 calories

∴ She is using energy per minute =

                                                       = 7,000 calories or 7 kilo calories

Lucia is using energy 7,000 calories/minute.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3