U2 2a
u = 30.6 correct to 3 significant figures
a = 5.2 correct to 2 significant figures
a) Calculate the upper bound for the value of D.
Give your answer correct to 6 significant figures.
(3)
The lower bound for the value of D is 88.8860 correct to 6 significant figures.
b) (i) By considering bounds, write down the
value of D to a suitable degree of accuracy.
(1)
(ii) Give a reason for your answer to part (i).
(1)
Total marks: 5

a ) 91.2061

b1) 90

b2) round to 1 significant figure

10 you would take 50/ .2

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is