MHB Cost of 2x number of roses is not double the cost of x number of roses.

[Asawira Emaan]

Asalamoalikum,
Explain why the cost of six roses is not double the cost of three roses?

Hint: Think about a expression for cost of roses r, 2 + 5r.
What if the expression for cost was just 5r instead?

 

[MarkFL]

For the first part of the problem, we are given:

$$C(r)=2+5r$$

And we are asked to determine if the following is true:

$$C(2r)=2C(r)$$

Or:

$$2+5(2r)=2(2+5r)$$

After you distribute, do you find this true?