1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks and the number of appetizer recipes. (a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in school
(d) Explain your answer to Part 1c.

See below.

Step-by-step explanation:

(a)

Let w = number of weeks since she started culinary school.

Let r = number of recipes she knows at the end of week w.

(b)

Each week she learns 3 new recipes. In w weeks she learns 3w new recipes.

She already knew 4 recipes before starting school.

The equation is:

r = 3w + 4

(c)

After 18 weeks of school, w = 18.

r = 3w + 4

r = 3(18) + 4

r = 54 + 4

r = 58

(d)

After 18 weeks of school, she will know 58 recipes.

She knew 4 recipes before starting school. in 18 weeks of school she learned 18 * 3 = 54 recipes. Altogether, after 18 weeks of school, she knows 58 recipes.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis