ANSWER

EXPLANATION
An inverse variation equation is of the form:

We plug in the point (-1,8).

This implies that k=-8
Therefore the inverse variation equation is :

Answer:
500
600
500
Step-by-step explanation:
Answer:
The cost of 1 doll = $ 7.5
and The Cost of 1 toy train = $ 5
Step-by-step explanation:
Let the price of 1 doll = $ x
The price of 1 toy train = $ y
Now, according to the question:
6 x + 2 y = $ 55
and 4 x + 7 y = $ 65
Solving the given system of equation,
From (1), we get


or, solving for y , we get
110y - 4y + 21 y = 195
or, 17 y = 85
⇒ y= 85/17 = 5
This implies : 6 x + 2 (5) =55
or, 6x = 55 - 10 = 45
or, x = 45/ 6 = 15/2
Hence, the cost of 1 doll = x = $ 7.5
and the Cost of 1 toy train = y = $ 5
Answer:
48 assistants
Step-by-step explanation:
If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.
Thus:
1.5 assistants to 1 executive = x assistants to 32 executives
1.5 : 1 = x : 32

Cross multiply


Therefore, 48 assistants were employed in the office.