16.02.2021

Emilia learns 3 new appetizer recipes during each week of culinary school. Write the equation that shows the relationship between the number of weeks
X, and the number of appetizer recipes y

. 4

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Mathematics
Step-by-step answer
P Answered by PhD

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.

Mathematics
Step-by-step answer
P Answered by PhD

(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

Step-by-step 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.

Mathematics
Step-by-step answer
P Answered by PhD

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

Mathematics
Step-by-step answer
P Answered by PhD

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.

Mathematics
Step-by-step answer
P Answered by PhD

(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

Step-by-step 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.

Mathematics
Step-by-step answer
P Answered by PhD

4 + 3w

Step-by-step explanation:

Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school.

Let us represent the number of weeks of the school as w

The equation that shows the relationship between the number of weeks and the number of appetizer recipes is

4 appetizer + 3 new appetizers × w

Number of recipes she knows after w weeks = 4 + 3w

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