Sue weighed 82 kg at the start of the year, but she has lost weight at a consistent rate because she has been diligent with her exercise and diet plan. Sue weighed herself at the end of each month and tracked her progress for the full year using the graph above. How much weight did Sue lose each month? Question 5 options: A) 4 kg B) 2 kg C) 3 kg D) 1 kg

Option (B)

Step-by-step explanation:

Sue's weight at the start of the year = 82 kg

Sue weighed herself at the end of every year, so that the straight line on the graph shows the gradual reduction in the weight every month.

Slope of the line will describe the reduction in the weight per month.

Let the two points on the given line are (1, 80) and (11, 60).

Slope of the line will be,

m =

   =

   = -2 kg per month

(Here minus sign denotes the reduction of weight per month)

Option (B) will be the answer.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

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