Question

Suppose y varies inversely with c, and y =3 when x=8

a write an equation that models the variation


b find y when x=72



please help me :)

Answer 1

a) If y varies inversely with c, we can write the equation:

y = k/c

where k is the constant of variation. To find the value of k, we can use the given information that y = 3 when c = 8. Substituting these values into the equation, we get:

3 = k/8

Solving for k, we get:

k = 24

Therefore, the equation that models the variation is:

y = 24/c

b) To find y when x = 72, we need to first determine the value of c. Since we know that y varies inversely with c and we have an equation that models the variation, we can solve for c by substituting the given values of x and y:

y = 24/c

3 = 24/c (since y=3 when x=8)

Solving for c, we get:

c = 8

Now that we know the value of c, we can use the equation that models the variation to find y when x = 72:

y = 24/c

y = 24/8

y = 3

Therefore, when x = 72, y = 3.

Explanation: