Question

1. All of the variables below are directly proportional, write an equation linking them:

a. V= 12 when M =4
b. T= 5 when S=1
c. Y= 34 when x=2
d. H=48 when M=4
e. P= 5 when N=10

Answer 1

a. V = 3M

b. T = 5S

c. Y = 17x

d. H = 12M

e. P = 0.5N

Explanation:

a. V= 12 when M =4

12/4 = 3, so in this case, V is 3 times M, that is, V = 3M

b. T= 5 when S=1

5/1 = 5, so in this case, T is 5 times S, that is, T = 5S

c. Y= 34 when x=2

34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x

d. H=48 when M=4

48/4 = 12, so in this case, H is 12 times M, that is, H = 12M

e. P= 5 when N=10

5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N