Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
25 minutes.
Explanation: if the field is 300 feet and the sloth travels 60 feet every 5 minutes, you would divide 300 feet by 60 feet to determine the distance the sloth can travel. That gives you 5, then you would multiple 5 by 5 minutes.
side note: there’s probably a simpler way to explain this
5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
Answer:
the height
Step-by-step explanation:
Answer:
Pat a) The graph in the attached figure
Part b) 
The slope is 
The y-coordinate of the y-intercept is 
Step-by-step explanation:
Part a) Which line represents the linear equation
?
To graph the linear equation find the intercepts
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0



The y-intercept is the point 
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0



The x-intercept is the point 
Plot the intercepts to graph the linear equation
see the attached figure
Part b) Rewritten in slope-intercept form
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
we have

convert to slope intercept form
isolate the variable y


The slope is 
The y-coordinate of the y-intercept is 