5. you want to produce a scale drawing of your living room, which is 24 ft by 15 ft. if you use a scale of 4 in. = 6 ft, what will be the dimensions of your
scale drawing?
16 in. by 10 in.
24 in. by 10 in.
16 in. by 144 in.
24 in. by 144 in.

 A) 16 in by 10 in

Step-by-step explanation:

Set up the proportion for 24 ft and then for 15 ft:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!