Question

NEED ANSWER ASAP PLEASE!!!!!!!!

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

it would be the first option because she make 30 per 100 and 7 dollar profits the first option is only up to 10 bears and less than a 7 dollar profit

Answer 2

Option A

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,
`y = 10x-100`

where y is the profit and x is the number of stuffed toys sold and x cannot be greater than 30

`y = 10x-100`

Slope = 10

For x intercept : Substitute y = 0

So,
`0 = 10x-100`

`100 = 10x`

`x=10`

Thus x intercept = 10

For y intercept : Substitute x = 0

So,
`y = 10(0)-100`

`y=-100`

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.