Jason is drawing the floor plan of his bedroom. he is drawing everything with dimensions that are 1/12 of the actual size. his bed measures 6 ft by 3 ft, and the room measures 14 ft by 16 ft. what are the dimensions of his bed and room in his drawing?

New bed dimension of bed 0.5 ft, 0.25 ft

New bed dimension of room 1.16 ft, 1.33 ft

Step-by-step explanation:

Given data:

bed dimension is given as 6 ft by 3 ft

room dimension is given as 14 ft 16 ft

according to the given information , new dimension of the room and bed will be 1/12 times of actual dimension. therefore we have

New bed dimension of bed

                                 = 0.5 ft, 0.25 ft

New bed dimension of room

                                                 = 1.16 ft, 1.33 ft

right

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺