Question

Use the given cost table for the same product from two different companies to create a linear system.

Then solve the system to determine when the cost of the product will be the same and what the price will
be.
Two online retailers sell organic vanilla extract by the ounce using the following pricing chart.

Answer 1

c(n) = 2.25n + 4

g(n) = 2n + 6

Solve:

`g(n) = c(n)`

so:

`2n + 6 = 2.25n + 4\\2 = 0.25n\\n = 8`

plug this in:

`g(n) = 2n + 6\\g(n) = 2 * 8 + 6\\g(n) = 16 + 6 = 22`

Both Chef Mate and Grocery Gourmet charge $22 for 8 ounces of vanilla extract.