The rate of temperature rise is 2 degrees/minute.
The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius
When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b
Part A
The relation is y = 2x + 4
Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C
Answer: 34°C
Answer:
31
Step-by-step explanation:
3x + 12 and 105 are alternate exterior angles because A || B and B || C.
If the two or more lines are parallel, then the alternate exterior angles are equal.
3x + 12 = 105
Substract 12 on both sides,
3x = 105 - 12
3x = 93
Divide 3 on both sides,
x = 93 / 3
x = 31
Making graphical representations allow you to plot points and compute for the equation of the line following available derived formula to compute linear formula given two points.
The principal equation is the point-slope formula y=mx+b
Where, m = slope or rate of how the elevation or depression between two reference points.
Say for example you have pt 1 (1,1) and pt 2(0,0)
compute first for slope where m = (y2-y1)/(x2-x1) = (0-1)/(0-1) = 1
Now using point slope formula given p1 (1,1) and slope of m=1
(y-y1)=m(x-x1)
y-1=(1)(x-1)
y=x