Question

Heidi makes stuffed toys. The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns her $10. Which graph represents the profit made by Heidi for x number of stuffed toys sold?

Answer 1

Given that Heidi makes stuffed toys. Where the initial cost for the raw material is $100 for 30 stuffed toys.

So that means cost of 1 toy = 100/30 = 10/3

If the number of toys is x then total cost = 10x/3

Given that selling price of 1 toy = 10

Then sellng price of x toys = 10x

Now we can easily find the profit equatoin by subtracting cost from selling price

Hence profit equation where y represents pofit is given by

y=10x-10/3x

or

y=20/3x

Now we have to graph this so we need two points

We are free to use any number so let's use x=0 and x=3

for x=0, y=(20/3)*0=0

Hence first point is (0,0)

for x=3, y=(20/3)*3=20

Hence second point is (3,20)

Now we just join both points by a line and keep the graph in first quadrant because number of toys can't be negative.

Hence any choice (graph) that matches with attached graph will be the final answer.