4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
ANSWER
An exponential growth function.
EXPLANATION
The given function is
This function is of the form,
Since k is positive , the function will grow exponentially and fall asymptote to the negative x-axis.
As x-values becomes bigger and bigger positively, the graph grows exponentially.
Answer
Find out the what is the value of x when y = 8 .
To prove
As given
The variables y and x have a proportional relationship.
y = kx
Where k is the constant of proportionality.
As y = 5 when x = 4
Put in the above
5 = 4k
Now find out the value of x , when y = 8
x= 6.5
Therefore when y = 8 than x = 6.4