we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
where
k is the constant of proportionality
Verify each table
table a
Let
x ----> distance
y ----> sound level
For each ordered pair calculate the value of k
k=y/x
so
(5,85) -----> k=85/5=17
(10,79) ----> k=79/10=7.9
the values of k are differents
that means
the table nor represent a proportional relationship
table b
let
x ----> volume
y ----> cost
k=y/x
(16,1.49) ----> k=1.49/16=0.093125
(20,1.59) ----> k=1.59/20=0.0795
the values of k are differents
that means
the table nor represent a proportional relationship
Answer:
Jordan had 40 stickers.
Step-by-step explanation:
For this ratio, we have David:Ben:Jordan as 8:9:10, and so we need to make it as a more complex fraction, 8/9/10, now we need a multiplier to get us from 9 stickers of Jordan to 36, like a giant one. The common multiplier in this case is 4, and we know that the values must always stay proportional. We multiply everything by 4,and we get a final ratio of 32:36:40, and since Jordan is the last in the ratio David:Ben:Jordan, Jordan ends up with 40 stickers.
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
