brainliest 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.

Kindly check explanation

Step-by-step explanation:

Given that :

Number of recipes already known = 4

Number of new recipes learnt per week = 3

Relationship between number of weeks and appetizer recipe :

y = 3w

number of weeks = w

Number of appetizer recipe = y

B.) Linear equation:

y = mx + c

x and y are the independent(x = number of weeks) and dependent variables (y = number of recipes learnt)

C = intercept, value of y, when x = 0 ; number of recipes already known before learning ; 4

m = gradient change in y per change in x; number of recipes Learnt per week ; m = 3

y = 3x + 4

Number of recipes known after 18 weeks :

x = 18

y = 3(18) + 4

y = 54 + 4

y = 58

58 recipes

After 18 weeks, Tara would have learnt (18 * 3) = 54 new recipes plus the already known 4 = (54 + 4) = 58

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation: