1.If m varies directly as y and m is 6 when y is 36, find the constant of variation.

2. A varies directly as b. If A = 3 when b = 24, find b when A = 10.

3. If y varies inversely with x, and y = 5 when x = 8, what is k?

4. If y varies inversely with x and k = 0.32, what is x when y = 10?

1) the constant of variation is 1/6

2) b=80 when A=10

3)the value of k is 40

4) x=0.032 when y = 10

Step-by-step explanation:

1)m varies directly as y

k is the constant of variation

We are given that m is 6 when y is 36

Hence  the constant of variation is 1/6

2)A varies directly as b.

k is the constant of variation

We are given that A = 3 when b = 24

Substitute A=10

80=b

So, b=80 when A=10

3)y varies inversely with x

k is the constant of variation

We are given that y = 5 when x = 8

So, the value of k is 40

4)y varies inversely with x

k is the constant of variation

We are given that k=0.32

Substitute y = 10

So, x=0.032 when y = 10

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

(-1,-0.5)

step-by-step explanation: