Question

PLEASE HELP IF YOU CAN!!

Tina makes a table to use as a quick reference guide:

***Cookies baked (y) is a function of number of batches (x).***


Number of batches(X) ---->  Total number of cookies(Y)
X            Y
5   --->  180
6   --->  198
7   --->  216
8   --->  234
9   --->  252

How many cookies will Tina have if she has 7 more batches???

Answer 1

[ x ] Batches

[ y ] Cookies

`\left[\begin{array}{ccc}x&y\\5&180\\6&195\\7&216\\8&234\\9&252\\--&--\\16&?\end{array}\right]`

To Figure Out How Create The Equation You Must Find What They Have In Common.

`\left[\begin{array}{ccc}Subtract\\252-234\\234-216\\216-198\\198-180\end{array}\right]`

`\left[\begin{array}{ccc}y=18(x)\end{array}\right]`

Tina Is Wanting to Go All The Way To 16 Batches

`\left[\begin{array}{ccc}x&y\\5&180\\6&198\\7&216\\8&234\\9&252\\10&270\\11&288\\12&306\\13&324\\14&342\\15&360\\16&378\\\end{array}\right]`

Answer 2

The Y factor is adding 18 so if you keep adding 18 till you get 16 in the x factor Tina will have 378 Batches.