UPPER AND LOWER BOUNDS
joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. she serves the soup in 280ml portions, correct to the nearest 10 ml. 22 people order this soup.
does joy definitely have enough soup to serve the 22 people? show how you decide
your final line must be written as, joy definitely does have enough soup or joy may not have enough soup

Yes, Joy has enough soup to serve 22 people since 22 is part of [22,23]

Step-by-step explanation:

#First, determine both the upper and lower bounds of the soup portion.

-given that the soup portions are correct to nearest 10ml, the interval will be of

Hence:

Upper Bound: 285ml  turn it to 0.285 L                  

280ml

Lower Bound: 275ml turn it  to 0.275 L

#Determine both the upper and lower bounds of the soup prepared.

-given that the soup prepared are correct to nearest 0.5L, the interval will be

Upper Bound: 6.75 L                        

6.5 Litters

Lower Bound:6.25  L

#Divide the bound limits of the soup prepared by the corresponding limit of the soup portion to get the interval within which she can serve her soup

The interval of the people Joy can serve is therefore [22,25].

- 22is part of the interval and therefore Joy has enough soup to serve 22 people

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form