Question

The following graph shows the relationship between cost and revenue for a manufacturer of lab coats.

I - Cost: 1.5n+1,600
II - Cost: 4.5n+1,600
III - Revenue: 3.25
IV - Revenue: 5.75


Which of the following pairs of equations best suits this graph?

a.
I and III

b.
I and IV

c.
II and III

d.
II and IV

Answer 1

A

Explanation:

Answer 2

Option a.

I and III

Explanation:

Observing the graph

For n=400 coats

The cost is about $2,200

and

The revenue is less than $1,400

Substitute the value of n=400 in each equation to find the solution

I Cost 1.5(400)+1,600=$2,200 ----> is ok

II Cost 4.5(400)+1,600=$3,400 ----> is not ok ( is greater than $2,200)

III Revenue 3.25(400)=$1,300 ----> is ok ( is less than $1,400)

IV Revenue 5.75(400)=$2,300 ----> is not ok ( is greater than $1,400)

therefore

The solution is I and III