Answer:
Option A
Step-by-step explanation:
Given : The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns her $10.
To Find: Which graph represents the profit made by Heidi for x number of stuffed toys sold?
Solution:
Let x be the number of stuffed toys sold
Every stuffed toy she makes earns her $10.
So, Revenue = 10x
The initial cost for the raw material is $100 for 30 stuffed toys
Profit = Revenue - cost
So, [tex]y = 10x-100[/tex]
where y is the profit and x is the number of stuffed toys sold and x cannot be greater than 30
[tex]y = 10x-100[/tex]
Slope = 10
For x intercept : Substitute y = 0
So, [tex]0 = 10x-100[/tex]
[tex]100 = 10x[/tex]
[tex]x=10[/tex]
Thus x intercept = 10
For y intercept : Substitute x = 0
So, [tex]y = 10(0)-100[/tex]
[tex]y=-100[/tex]
So, y = -100
Thus y intercept = -100
Thus Option A satisfies all the conditions.
In Option A Slope is 10 , x - intercept is 10 an y intercept is -100
Also , on plotting the profit function on the graph we got the same graph as option A (Refer the attached figure)
Hence Option A is correct.
