The linear function that models Rachel's distance as a function of time is:
D(x) = (70 mi/h)*x
<h3>
How to find a function that models Rachel's distance as a function of time?</h3>
Remember the relation between speed and distance:
Distance = Speed*Time.
Here we know that the speed of Rachel is 70 miles per hour, then if she drives for x hours, the distance traveled will be:
D(x) = (70 mi/h)*x
So we found a linear function that models Rachel's distance as a function of time.
If you want to learn more about linear functions:
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(10/17) / (-15/17) =
10/17 * - 17/15 =
- 10/15 =
- 2/5 <==
============
2.75 / -2.2 =
- 1.25 <==
============
(-2 3/5) / (3/5) =
- 13/5 * 5/3 =
-13/3 or - 4 1/3 <==
============
(2 1/4) / (3/4) =
9/4 * 4/3 =
9/3 =
3 <==
Answer:
F. -5s = -47.5
Step-by-step explanation:
F. -5s = -47.5
s = -47.5 / -5
s = 9.5
This is the correct option
G. -3 + s = 12.5
s = 12.5 + 3
s = 15.5 (Incorrect option)
J. –1 + s = 10.5
s = 10.5 + 1
s = 11.5 (Incorrect option)
Answer:
The volume increases at a rate of 
Step-by-step explanation:
The rate of change of the radius with respect to time is 4 mm / s.
So:
Now we must find a relationship between the volume of a sphere and its radius.
The equation of the volume of a sphere is:
So:
The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.
So:
The volume increases at a rate of :
40000 π mm ^ 3 / s = 125663.71 mm^3/s
Answer:
1. slope is -1 and y intercept is 2
3. slope is -2 and y intercept is -4
2. slope is -4 and y intercept is 2
4. this is not a line - it is a parabola
Step-by-step explanation:
1. -4y = 4x -8
y = -x + 2
3. 4y = -8x -16
y = -2x - 4
2. y = -4x + 2
4. y - 14 = -3x^2 -16x
y = 3x^2 - 16x + 4
