Students in a cooking class made 4 1/2 quarts of soup. they served 4/5 of the soup to friends. each serving is 3/5 quart. hector incorrectly says that there were 3 3/5 servings of soup. what is the correct number of servings? what did hector do wrong?

The correct number of servings = 6.

By saying there were servings of soup, Hector must have intended to say that there were quarts of soup for serving.

Step-by-step explanation:

Given:

Total quarts of soup made by students =

Fraction of the soup served to  friends =

Each serving = quarts

Hector incorrectly says that that there were servings of soup.

To find the correct number of servings and to identify Hector's mistake.

Solution:

Total quarts of soup made =

Fraction of total quarts served =

Thus, total quarts of soup served =

⇒

Thus, total quarts of soup for serving  = or

Each serving  = quarts

Total number of servings can be given as:

⇒

⇒

To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.

⇒

⇒

⇒ 6  servings

Thus, the correct number of servings = 6.

By saying there were servings of soup, Hector must have intended to say that there were quarts of soup for serving.

answer: true

step-by-step explanation:

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