Answer:
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
(b) A = 3 × x
(c) 58 recipes
(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew
Explanation:
The given parameters are;
The number of appetizer recipes Tara already knew = 4
The number of new appetizer recipe she will learn each week of school = 3
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
The added constant term = The number of appetizer recipes Tara already knew = 4
(b) The equation for the number of appetizer, A, she will learn during school is give as follows;
The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +
A = 3 × x
(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;
y = A(18) + The number of appetizer recipes Tara already knew
A(18) = 3 × 18 = 54
y = 54 + 4 = 58 recipes
(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.