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
The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.
I hope this helps
Answer:
|−93| = −93
Step-by-step explanation:
|Mode| = mode
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
