. A recipe for cookies calls for 2/3 of a cup of sugar per batch of cookies. Elena used 5 and 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make? Consider drawing a model to help you solve the problem.

B. 8 batches of cookies

Step-by-step explanation:  

We need to solve for x.

5 1/3 = 16/3

Use proportions to solve

2/3 cups = 1 batch of cookies

16/3 cups = x

Use cross multiplication

2/3 × x = 16 /3

2x/ 3 = 16/3

Multiply each side of the equation

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24