The quantities xxx and yyy are proportional.

xxx yyy

888 1.61.61, point, 6

151515 333

222222 4.44.44, point, 4

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.

r=0.2

Step-by-step explanation:

Given the quantities x and y

When x=8, y=1.6

On Substitution into y=rx

1.6=8r

r=1.6/8=0.2

When x=15, y=3

On Substitution into y=rx

3=15r

r=3/15=0.2

When x=2, y=0.4

On Substitution into y=rx

0.4=2r

r=0.4/2=0.2

Therefore, the constant of proportionality, r=0.2

NOTE: One set of values is enough to determine this. Others are done for verification.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98