Given:
The equations are


To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is

Where m is slope and b is y-intercept.
On comparing
with the slope intercept form, we get



On comparing
with the slope intercept form, we get


Since,
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
Answer:
Shorter piece length is 18 inches
Step-by-step explanation:
Let's marked first piece with x and second with y
x + y = 42
Given ratio is x : y = 3 : 4
From this proportion we get
x = 3 c and y = 4 c where c is coefficient of proportionality
when we replace this in initial equation we get
3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6
x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches
shorter piece is x = 18 inches
God with you!!!
Answer:
when x=6, y=30
when x=7.5, y=37.5
Step-by-step explanation:
Just plug in the value of x into the equation y=5x
so when x=6, the equation will be y=5(6). In this case y=30
when x =7.5, the equation will be y=5(7.5). So y=37.5
Answer:
1,2,3,4,6,9,12,18,36
Step-by-step explanation:
Today 30 pounds would get you $36.57 dollars