Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
Answer:
The answer is B)
Step-by-step explanation:
First, we look at what we know. There are two points on the graph that we know, (0, 0) and (15, 5). This can give us the slope of the line.
y2 - y1 / x2 - x1 | Plug in our coordinates
5 - 0 / 15 - 0 | 5 / 15 | 1/3. Our slope is 1/3. This means that for each inch of length, the ramp rises .33 inches.
Answer:
length of a rectangle is 5 more than twice the length. I believe
you mean the length of a rectangle is 5 more than twice the
width.
From the information given we can make two equations,
thus forming a system to solve. We know the perimeter
of a rectangle is 2(length + width) and area = length*width.
length of a rectangle is 5 more then twice the width:
L = 2w + 5
The perimeter is 130:
2(L+w) = 130
L+w = 65
Since we know L=2w+5 we can substitute that into 2nd equation
to solve for w
2w + 5 + w = 65
3w = 60
w = 20
L = 2w+5 = 45
The area is length*width = 20(45) = 900 square units
using the rise/run method the rise is 4 and the run is 2 so the slope should be 4/2
