Answer:
9
Step-by-step explanation:
An inverse relation has an equation of the form:
y = k/x
in which y varies inversely with x.
We are told that the number of toys varies inversely with the number of children, so the number of toys is the dependent variable, y, and the number of children is the independent variable, x.
We are told that for 3 children (x = 3), the number of toys is 15 (y = 15).
That gives us one ordered pair, (3, 15).
We use this ordered pair in the equation of the relation above to find the value of k.
y = k/x
15 = k/3
k = 3 × 15
k = 45
Now that we know the value of k, we can write the equation of the relation fully.
The equation of the inverse relation is
y = 45/x
Now we find the number of toys when there are 5 children.
x = 5
y = 45/x
y = 45/5
y = 9
Answer: 9
